How do you factor the trinomial $9t^2 - 25$ ?

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Answer 1 · 2015-12-24T04:59:24

$9t^2-25=(3t+5)(3t-5)$

$9t^2-25$ is an example of the difference of squares, $(a^2-b^2)=(a+b)(a-b)$ , where $a=3t and b=5$ .

Rewrite.

$(3t)^2-5^2$

Factor.

$(3t+5)(3t-5)$

How do you factor the trinomial 9t^2 - 259t^2 - 25?