Question

factorize following questions :81-(x-7)²​

Answer 1

Answer:

(x+2)(16-x)

Step-by-step explanation:

81 - (x- 7)²= 9²-(x-7)²

=(9+x-7)(9-x+7) [since, a²-b² = (a+b)(a-b)]

=(x+2)(16-x)

Answer 2

Answer:

81-(x-7)^2

81-(x^2-14x+49)

81-x^2+14x-49

-x^2+14x+32

multiply -1 inorder to remove - from the higher power

therefore ,x^2-14x-32

on factorising we get

x^2 - 16x +2x -32

x(x-16) + 2(x-16)

(x-16) (x+2)

x= 16 ,x = -2