Question

Factorize the term 81-(x-7)^2

Answer 1

9^2-(x-7)^2
(9+x-7)(9-x+7)
(x+2)(16-x) Ans

Answer 2

Answer:

The factorize form of the term is $81-(x-7)^2=(2+x)(16-x)$

Step-by-step explanation:

Given : Expression $81-(x-7)^2$

To find : Factorize the term ?

Solution :

Expression $81-(x-7)^2$

Re-write 81 as $81=9^2$

$81-(x-7)^2=9^2-(x-7)^2$

Apply identity, $a^2-b^2=(a+b)(a-b)$

$81-(x-7)^2=(9+x-7)(9-(x-7))$

$81-(x-7)^2=(2+x)(9-x+7)$

$81-(x-7)^2=(2+x)(16-x)$

The factorize form of the term is $81-(x-7)^2=(2+x)(16-x)$