How do you factor -36n^2+48n-15?

1 Answer
Alan P.
Sep 1, 2016

-36n^2+48n-15=color(green)(-3(6n-5)(2n-1))

Explanation:

-36n^2+48n-15
color(white)("XXX")=-(6n)^2+8(6n)-15

(replacing 6n with p temporarily)
color(white)("XXX")=-p^2+8p-15

color(white)("XXX")=(-1)(p-5)(p-3)

(restoring 6n back in place of p)
color(white)("XXX")=(-1)(6n-5)(6n-3)

color(white)("XXX")=(-3)(6n-5)(2n-1)

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