Question

Factorize
(x + y) ^ 2 - (y - 9) ^ 2

Answer 1

Answ er:

( x + 2 y − 9 ) ( x + 9 )

Explanation:

Since both terms are perfect squares, factor using the difference of squares formula,

a ^2 − b ^2 = ( a + b ) ( a − b ) where a = x + y and b = y − 9 .

( x + 2 y − 9 ) ( x + 9 )