Question

81 - ( x - 7 ) ^2 , factorise the binomial s

Answer 1

Answer:

The answer is $(x+2)(16-x)$

Step-by-step explanation:

Given expression

    $81-(x-7)^2$

 $=9^2-(x-7)^2$

 $=(9+x-7)(9-(x-7))$ $\boxed{\because a^2-b^2=(a+b)(a-b)}$

$=(2+x)(9-x+7)\\=(x+2)(16-x)$