Question

Find the product of (x − 7)^2.

A) x^2 − 14x + 49
B) x^2 + 14x + 49
C) x^2 − 49
D) x^2 + 49

Answer 1

(x − 7)^2 = x^2 − 14x + 49

using (a-b)^2 = a^2 - 2ab + b^2

answer is A) x^2 − 14x + 49

Answer 2

Answer: The correct option is (A)
`x^2-14x+49.`

Step-by-step explanation: We are given to find the following product :

`P=(x-7)^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We will be using the following formula :

`(a-b)^2=a^2-2ab+b^2.`

From (i), we get

`P\\\\=(x-7)^2\\\\=x^2-2* x*7+7^2\\\\=x^2-14x+49.`

Thus, the required product is
`x^2-14x+49.`

Option (A) is CORRECT.