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

$P\\\\=(x-7)^2\\\\=x^2-2\times x\times7+7^2\\\\=x^2-14x+49.$

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

Option (A) is CORRECT.