How do you factor completely $4x^2-25$ ?

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Answer 1 · 2015-11-15T05:05:56

$(2x+5)(2x-5)$

Realize that $4x^2-25$ is a difference of squares. Differences of squares, such as $a^2-b^2$ , can be factored into $(a+b)(a-b)$ .

Since $4x^2=(2x)^2$ and $25=(5)^2$ , we can say that $4x^2-25=color(blue)((2x+5)(2x-5)$ .

How do you factor completely 4x^2-254x^2-25?