Assertion: identity | /r/HasProperty | useful
Facets:
value: in simplifying algebraic expressions
type: OTHER
Source sentences:
text: Certain identities, such as a + 0 = a {\displaystyle a+0=a} and a + ( − a ) = 0 {\displaystyle a+(-a)=0} , form the basis of algebra, while other identities, such as ( a + b ) 2 = a 2 + 2 a b + b 2 {\displaystyle (a+b)^{2}=a^{2}+2ab+b^{2}} and a 2 − b 2 = ( a + b ) ( a − b ) {\displaystyle a^{2}-b^{2}=(a+b)(a-b)} , can be useful in simplifying algebraic expressions and expanding them.
text: These identities are useful whenever expressions involving trigonometric functions need to be simplified.