Question

Which expression is equivalent to 36x2 - 25?

(18x) + (-5)
(18x)? – (5)
(6x)2 + (-5)
(6x)2 – (5)​

Answer 1

Answer: (6x)^2 − (5)^2

Explanation:

edge. 2022 got it right

Answer 2

The equivalent expression is: (6x + 5)*(6x - 5)

Explanation:

This expression is called the difference of two squares.

It has the following format:
`a^(2) - b^(2)`

It is factored as:
`a^(2) - b^(2) = (a-b)*(a+b)`

In this question:

`a^(2) - b^(2) = 36x^(2) - 25`

So

`a^(2) = 36x^(2)`, then
`a = \sqrt{36x^(2)} = 6x`

`b^(2) = 25`, then
`b = √(25) = 5`

So

The equivalent expression is: (6x + 5)*(6x - 5)