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Verified Answer :

JcAlmighty

The answer is 49x2 _ 84x + 36 

(7x - 6)² is the square of the difference. The general formula would be:
(a - b)² = a² - 2ab + b²

In our expression (7x - 6)², a would be 7x and b would be 6:
(7x - 6)² = (7x)² - 2 · 7x · 6 + 6²
              = 7² · x² - 84x + 36
              = 49x² - 84x + 36

Answer:

option (d) is correct.

The product of \((7x-6)^2\) is \(49x^2-84x+36\)

Step-by-step explanation:

Given : \((7x-6)^2\)

We have to find the product of given expression  \((7x-6)^2\)

Consider the given expression  \((7x-6)^2\)

Using algebraic identity,  \((a-b)^2=a^2-2ab+b^2\) , we get,

\((7x-6)^2=(7x)^2-2\cdot 7x \cdot 6+(6)^2\)

Simplify ,

Using properties of exponents \((ab)^n=a^nb^n\)

we get

\((7x-6)^2=49x^2-84x+36\)

Thus, the product of \((7x-6)^2\) is \(49x^2-84x+36\)

Thus, option (d) is correct.