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Mathematics 20 Online
ILovePuppiesLol (ilovepuppieslol):

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ILovePuppiesLol (ilovepuppieslol):

@Mehek14 help me ;~;

OpenStudy (happy_to_help):

Consider the trinomial x^2-10xy+16y^2. This can be factored into (x-2y)(x-8y). To check this factorization use the distributive property to multiply this out. This is often remembered by the acronym FOIL where F = first terms, O = outer terms, I = inner terms, and L = last terms. first terms: (x)(x) = x^2 outer terms: (x)(-8y) = -8xy inner terms: (-2y)(x) = -2xy last terms: (-2y)(-8y) = 16y^2 adding terms: x^2 - 8xy - 2xy +16y^2 = x^2-10xy+16y^2 (the original trinomial) So the factoring checks out.

ILovePuppiesLol (ilovepuppieslol):

wut

ILovePuppiesLol (ilovepuppieslol):

does anyone have a simpler explanation xD

ILovePuppiesLol (ilovepuppieslol):

@iambatman

OpenStudy (happy_to_help):

what you can do is split one of the binomials and then apply the distributive property if f(x) = (x + 3)(x -2) split the 1st binomial f(x) = x(x -2) + 3(x -2) now apply the distributive property to get f(x)=x2−2x+3x−6 which simplifies to f(x)=x2+x−6

ILovePuppiesLol (ilovepuppieslol):

oh @happy_to_help

OpenStudy (happy_to_help):

Do you understand?

ILovePuppiesLol (ilovepuppieslol):

yeah kinda

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