Document:

<PAGE>
                                                                    Exhibit 10.8

                        STOCK OPTION AMENDMENT AGREEMENT

      This Agreement is made and entered into on this 29th day of December, 2006
between Broadcom Corporation (the "Company") and the undersigned holder of one
or more options to purchase shares of the Company's Class A and/or Class B
common stock (the "Optionee").

      WHEREAS, the Company previously granted to Optionee the options identified
on attached SCHEDULE I (the "Options") to purchase shares of the Company's Class
A and/or Class B common stock under the Company's 1998 Stock Incentive Plan, as
amended and restated (the "Plan");

      WHEREAS, the Company and the Optionee entered into a formal Stock Option
Agreement (the "Option Agreement") evidencing each such Option;

      WHEREAS, the Board of Directors of the Company has requested that the
Optionee agree to increase the exercise price per share of the currently
outstanding, unexercised portion of each such Option to the higher "New Exercise
Price Per Share Following Amendment" set forth for that Option on Schedule I,
and the Optionee has agreed to do so; and

      WHEREAS, such increase to the exercise price per share for the currently
outstanding, unexercised portion of each such Option will also avoid any
potentially adverse tax consequences under Section 409A of the Internal Revenue
Code of 1986, as amended, and any comparable provisions of applicable state tax
law, with respect to the currently outstanding, unexercised portion of that
Option that is potentially subject to Section 409A.

      NOW THEREFORE, the parties hereby agree as follows:

      1.    INCREASED EXERCISE PRICE. The exercise price per share set forth in
the Option Agreement for the currently outstanding, unexercised portion of each
of the Options listed on SCHEDULE I is hereby increased to the "New Exercise
Price Per Share Following Amendment" set forth for that Option on SCHEDULE I.

      2.    ENTIRE AGREEMENT. This Agreement, together with the Option
Agreements (to the extent not expressly amended hereby) and the Plan, represents
the entire agreement of the parties with respect to the Options and supersedes
any and all previous contracts, arrangements or understandings between the
parties with respect to such Options. This Agreement may be amended at any time
only by means of a writing signed by the Optionee and an authorized officer of
the Company.

      3.    CONTINUATION OF OPTION AGREEMENTS. Except for the foregoing
increases to the exercise prices per share of the outstanding, unexercised
portion of each of the Options, no other terms or provisions of the Option
Agreements for such Options or the applicable Plans have been modified as a
result of this Agreement, and those terms and provisions shall continue in full
force and effect.

<PAGE>

      IN WITNESS WHEREOF, the parties have executed this Agreement on the day
and year indicated above.

                                        BROADCOM CORPORATION

                                        BY: /s/ Henry Samueli
                                            -----------------

                                        TITLE: Chairman of the Board
                                               and Chief Technical Officer

                                        OPTIONEE

                                        By: /s/ David A. Dull
                                            -----------------
                                            David A. Dull

<PAGE>

SCHEDULE I

AMENDED OPTION(S)

<TABLE>
<CAPTION>
                                                                  TOTAL
                                                                NUMBER OF
                                                                CURRENTLY        NUMBER OF
                                                               OUTSTANDING,      CURRENTLY
                                               NEW EXERCISE    UNEXERCISED      OUTSTANDING,
                                                 PRICE PER    OPTION SHARES     UNEXERCISED
                              EXERCISE PRICE       SHARE        SUBJECT TO     OPTION SHARES
                             PER SHARE PRIOR     FOLLOWING     NEW, AMENDED    UNVESTED AS OF
GRANT DATE   OPTION NUMBER     TO AMENDMENT      AMENDMENT    EXERCISE PRICE     12/31/2004
---------------------------------------------------------------------------------------------
<S>          <C>             <C>               <C>            <C>              <C>
11/03/1998       A00005            $13.63550      $20.50000           21,996           14,666

11/03/1998       A00006            $13.63550      $20.50000           10,254           10,254

 8/5/2002        F07517            $10.49330      $10.68000           37,500           21,095

 8/5/2002        F12698            $10.49330      $10.68000          130,000           46,875
---------------------------------------------------------------------------------------------
</TABLE><PAGE>
                                                                    Exhibit 10.9

                        STOCK OPTION AMENDMENT AGREEMENT

      This Agreement is made and entered into on this 29th day of December, 2006
between Broadcom Corporation (the "Company") and the undersigned holder of one
or more options to purchase shares of the Company's Class A and/or Class B
common stock (the "Optionee").

      WHEREAS, the Company previously granted to Optionee the options identified
on attached SCHEDULE I (the "Options") to purchase shares of the Company's Class
A and/or Class B common stock under the Company's 1998 Stock Incentive Plan, as
amended and restated (the "Plan").

      WHEREAS, the Company and the Optionee entered into a formal Stock Option
Agreement (the "Option Agreement") evidencing each such Option.

      WHEREAS, to avoid any potentially adverse tax consequences under Section
409A of the Internal Revenue Code of 1986, as amended, and any comparable
provisions of applicable state tax law, the Optionee desires to amend each of
the Options to increase the exercise price per share in effect for the
unexercised portion of that Option that is potentially subject to Section 409A
and identified as such on SCHEDULE I (the "Covered Portion") to the higher
exercise price per share indicated for the Covered Portion of such Option on
SCHEDULE I.

      NOW THEREFORE, the parties hereby agree as follows:

      1. INCREASED EXERCISE PRICE. The exercise price per share set forth in the
Option Agreement for each of the Options listed on SCHEDULE I is hereby
increased, with respect to the shares subject to the Covered Portion of that
Option, to the "New Exercise Price Per Share Following Amendment" set forth for
that Option on SCHEDULE I.

      2. ENTIRE AGREEMENT. This Agreement, together with the Option Agreements
(to the extent not expressly amended hereby) and the Plan, represents the entire
agreement of the parties with respect to the Options and supersedes any and all
previous contracts, arrangements or understandings between the parties with
respect to such Options. This Agreement may be amended at any time only by means
of a writing signed by the Optionee and an authorized officer of the Company.

      5. CONTINUATION OF OPTION AGREEMENTS. Except for the foregoing increases
to the exercise prices per share for the Covered Portions of the Options, no
other terms or provisions of the Option Agreements for such Options or the
applicable Plans have been modified as a result of this Agreement, and those
terms and provisions shall continue in full force and effect.

<PAGE>

      IN WITNESS WHEREOF, the parties have executed this Agreement on the day
and year indicated above.

                                    BROADCOM CORPORATION

                                    BY:/s/ Henry Samueli
                                       -----------------------------
                                    TITLE: Chairman of the Board and
                                           Chief Technical Officer

                                    OPTIONEE

                                    By:/s/ Bruce E. Kiddoo
                                       -------------------
                                          Bruce E. Kiddoo

<PAGE>

SCHEDULE I

AMENDED OPTION(S)

<Table>
<Caption>

                                                         NUMBER OF
                                                         OUTSTANDING
                                                         OPTION
                                         NEW             SHARES
                          EXERCISE       EXERCISE        SUBJECT
                          PRICE PER      PRICE PER       TO NEW,
                          SHARE          SHARE           AMENDED
              OPTION      PRIOR TO       FOLLOWING       EXERCISE
GRANT DATE    NUMBER      AMENDMENT      AMENDMENT       PRICE
--------------------------------------------------------------
<S>           <C>         <C>            <C>            <C>
07/03/2002    C02326      $10.49330      $12.74000       3,125
--------------------------------------------------------------
07/03/2002    F08076       10.49330       13.24000         352
--------------------------------------------------------------
07/03/2002    F10635       10.49330       13.01300       1,172
--------------------------------------------------------------
</Table><PAGE>
                                                                   Exhibit 10.10

                     STOCK OPTION AMENDMENT AGREEMENT

      This Agreement is made and entered into on this 29th day of December, 2006
between Broadcom Corporation (the "Company") and the undersigned holder of one
or more options to purchase shares of the Company's Class A and/or Class B
common stock (the "Optionee").

      WHEREAS, the Company previously granted to Optionee the options identified
on attached SCHEDULE I (the "Options") to purchase shares of the Company's Class
A and/or Class B common stock under the Company's 1998 Stock Incentive Plan, as
amended and restated (the "Plan").

      WHEREAS, the Company and the Optionee entered into a formal Stock Option
Agreement (the "Option Agreement") evidencing each such Option.

      WHEREAS, to avoid any potentially adverse tax consequences under Section
409A of the Internal Revenue Code of 1986, as amended, and any comparable
provisions of applicable state tax law, the Optionee desires to amend each of
the Options to increase the exercise price per share in effect for the
unexercised portion of that Option that is potentially subject to Section 409A
and identified as such on SCHEDULE I (the "Covered Portion") to the higher
exercise price per share indicated for the Covered Portion of such Option on
SCHEDULE I.

      NOW THEREFORE, the parties hereby agree as follows:

      1. INCREASED EXERCISE PRICE. The exercise price per share set forth in the
Option Agreement for each of the Options listed on SCHEDULE I is hereby
increased, with respect to the shares subject to the Covered Portion of that
Option, to the "New Exercise Price Per Share Following Amendment" set forth for
that Option on SCHEDULE I.

      2. ENTIRE AGREEMENT. This Agreement, together with the Option Agreements
(to the extent not expressly amended hereby) and the Plan, represents the entire
agreement of the parties with respect to the Options and supersedes any and all
previous contracts, arrangements or understandings between the parties with
respect to such Options. This Agreement may be amended at any time only by means
of a writing signed by the Optionee and an authorized officer of the Company.

      5. CONTINUATION OF OPTION AGREEMENTS. Except for the foregoing increases
to the exercise prices per share for the Covered Portions of the Options, no
other terms or provisions of the Option Agreements for such Options or the
applicable Plans have been modified as a result of this Agreement, and those
terms and provisions shall continue in full force and effect.

<PAGE>

      IN WITNESS WHEREOF, the parties have executed this Agreement on the day
and year indicated above.

                                    BROADCOM CORPORATION

                                    BY:/s/ Henry Samueli
                                       -----------------------------
                                    TITLE: Chairman of the Board and
                                           Chief Technical Officer

                                    OPTIONEE

                                    By:/s/ Thomas Lagatta
                                       ------------------
                                          Thomas Lagatta

<PAGE>

SCHEDULE I

AMENDED OPTION(S)

<Table>
<Caption>

                                                        NUMBER OF
                                                        OUTSTANDING
                                                        OPTION
                                         NEW            SHARES
                          EXERCISE       EXERCISE       SUBJECT
                          PRICE PER      PRICE PER      TO
                          SHARE          SHARE          AMENDED
              OPTION      PRIOR TO       FOLLOWING      EXERCISE
GRANT DATE    NUMBER      AMENDMENT      AMENDMENT      PRICE
--------------------------------------------------------------------
<S>            <C>        <C>            <C>            <C>
07/03/2002     N02255      $10.49330     $12.66700       19,061
--------------------------------------------------------------------
07/03/2002     N02256       10.49330      12.66700       18,132
--------------------------------------------------------------------
05/19/2003     F12970       13.33330      16.60700      135,939
--------------------------------------------------------------------
</Table>

Source: [{"source": "alea-institute/alea-institute/kl3m-data-edgar-agreements/train-00117-of-00352.parquet"}, [{"source": "alea-institute/alea-institute/kl3m-data-edgar-agreements/train-00117-of-00352.parquet"}], [{"source": "alea-institute/alea-institute/kl3m-data-edgar-agreements/train-00117-of-00352.parquet"}]]