Question

Which expression is equivalent to 36x2 - 25?

Answer 1

Answer:

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

Step-by-step 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 $b = \sqrt{25} = 5$

So

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