Respuesta :

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 [tex](7x-6)^2[/tex] is [tex]49x^2-84x+36[/tex]

Step-by-step explanation:

Given : [tex](7x-6)^2[/tex]

We have to find the product of given expression  [tex](7x-6)^2[/tex]

Consider the given expression  [tex](7x-6)^2[/tex]

Using algebraic identity,  [tex](a-b)^2=a^2-2ab+b^2[/tex] , we get,

[tex](7x-6)^2=(7x)^2-2\cdot 7x \cdot 6+(6)^2[/tex]

Simplify ,

Using properties of exponents [tex](ab)^n=a^nb^n[/tex]

we get

[tex](7x-6)^2=49x^2-84x+36[/tex]

Thus, the product of [tex](7x-6)^2[/tex] is [tex]49x^2-84x+36[/tex]

Thus, option (d) is correct.