Assistant: 
User: User: 38
a) (9x2 - y') : (3x + y);
б) (2ab - a) : (462 - 4b + 1);
B) (x2 + ?
r) (1 + a
37. Сократите дробь:
a)
2x + bx - 2y - by ;
7х - 7y
8a + 4b
б)
2ab + b2 - 2ad - bd
в)
,
г)
ху - x + Y - У
;
22 - y
a? + 2ac + c
+ ac - ах - сх
(Для работы в парах.) Постройте графт
x2 - 25
3 - 9x
a) y=
2x + 10'
б) у = •
Assistant: It seems like you have a set of mathematical expressions and problems that involve simplifying algebraic fractions, as well as some graphing tasks. Let's go through each part step by step.

### 1. Simplifying Algebraic Fractions

#### a) \((9x^2 - y') : (3x + y)\)

Assuming \(y'\) is a typo or notation error, let's proceed with simplifying the fraction:

- Expression: \(\frac{9x^2 - y}{3x + y}\)

There isn't much simplification possible without additional context or values for \(y\).

#### б) \((2ab - a) : (462 - 4b + 1)\)

Simplify the expression:

- Expression: \(\frac{2ab - a}{463 - 4b}\)

Factor out an 'a' from the numerator if possible:

\[
= \frac{a(2b - 1)}{463 - 4b}
\]

No further simplification can be done unless specific values are given.

#### B) Incomplete Expression

This seems to be incomplete. Please provide more information to assist with this part.

### 37. Simplifying Given Expressions

#### а) 

Expression: 
\[
\frac{2x + bx - 2y - by}{7х - 7y}
\]

Factor both numerator and denominator:
- Numerator: \( (2+b)x -(2+b)y = (x-y)(b+2)\)
- Denominator: \(7(x-y)\)

Thus, the simplified form is:
\[ 
= \frac{(b+2)(x-y)}{7(x-y)} = \frac{b+2}{7} 
\]
(as long as \( x ≠ y \)).

#### б)
Expression:
\[ 
8a + 4b
/
(462−4b+1)
=
8a + b
/
(463−4б)
\]

This cannot be simplified further without factoring opportunities or additional constraints.

### Graphing Tasks

For graphing functions such as those mentioned in your list, we need to understand which functions you're dealing with fully before providing assistance on how to plot them effectively on Cartesian coordinates using tools like graph paper or software like Desmos or GeoGebra.

If you provide more details about these equations—particularly any missing parts—we can guide you through solving them further!
User: - 40 + 1'
37. Сократите дробь:
a)
2x + bx - 2y - by
7х - Ty
б)
8a + 4b
2ab + 32 - 2ad - bd
в)
Assistant: ¡Claro! Vamos a simplificar las fracciones que has proporcionado.

### a) \(\frac{2x + bx - 2y - by}{7x - 7y}\)

Primero, podemos factorizar tanto el numerador como el denominador.

**Numerador:**
\(2x + bx - 2y - by\) se puede agrupar de la siguiente manera:
\[
= (2x + bx) + (-2y - by) = x(2 + b) - y(2 + b) = (2 + b)(x - y)
\]

**Denominador:**
\(7x - 7y\) se puede factorizar como:
\[
= 7(x - y)
\]

Ahora, la fracción se convierte en:
\[
\frac{(2 + b)(x - y)}{7(x - y)}
\]

Si \(x \neq y\), podemos cancelar \((x - y)\):
\[
= \frac{2 + b}{7}
\]

### b) \(\frac{8a + 4b}{2ab + 32 - 2ad - bd}\)

**Numerador:**
\(8a + 4b\) se puede factorizar como:
\[
= 4(2a + b)
\]

**Denominador:**
\(2ab + 32 - 2ad - bd\) se puede reorganizar y factorizar:
\[
= 2ab - 2ad + 32 - bd = 2a(b - d) + 32 - bd
\]
No hay una factorización directa aquí, pero podemos intentar agrupar:
\[
= 2a(b - d) + 4(8 - b)
\]

Sin embargo, para simplificar, necesitamos más información sobre los términos. Si \(b\) y \(d\) tienen valores específicos, podríamos simplificar más.

### Resumen

- Para la fracción a), la simplificación es \(\frac{2 + b}{7}\).
- Para la fracción b), hemos factorizado el numerador, pero el denominador necesita más contexto para simplificar completamente.

Si tienes más detalles o necesitas ayuda con la parte c), ¡házmelo saber!
User: в)
г)
ху - x+ y - y
х2 - у?
a? + 2ac + c
+ ас - ах -
- Cx
Assistant:
Assistant: