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ASHA 777 [7]
4 years ago
14

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

Mathematics
2 answers:
Llana [10]4 years ago
4 0
The answer is <span>49x2 _ 84x + 36 
</span>
(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
e-lub [12.9K]4 years ago
4 0

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.

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