Question

Choose the correct product of (7x _ 6)2.

49x2 + 84x + 36

49x2 _ 36

49x2 + 36

49x2 _ 84x + 36

Answer 1

option (d) is correct.

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

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.

Answer 2

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