How do you factor $36x^2 - 25$ ?

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Answer 1 · 2015-10-31T23:29:12

Use the difference of squares identity to find:

$36x^2-25 = (6x-5)(6x+5)$

The difference of squares identity can be written:

$a^2-b^2 = (a-b)(a+b)$

In the case of $36x^2 - 25$ , notice that $36x^2 = (6x)^2$ and $25 = 5^2$ , so we get:

$36x^2-25 = (6x)^2-5^2 = (6x-5)(6x+5)$

How do you factor 36x^2 - 2536x^2 - 25?