Verified Answer :

(x − 7)^2 = x^2 − 14x + 49 

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

answer is A) x^2 − 14x + 49 

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.

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