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Mathematics 8 Online
OpenStudy (aripotta):

simplify completely

OpenStudy (aripotta):

OpenStudy (anonymous):

ok, what would the first step be @AriPotta do you know? If not, let me know, and i'll get you through it step by step :)

hero (hero):

Just factor and cancel

OpenStudy (aripotta):

would it be to find the gcf?

OpenStudy (anonymous):

@Hero ,let her figure it out :)

OpenStudy (anonymous):

@AriPotta , as hero said, first factor the top part

OpenStudy (nincompoop):

follow hero's advice

OpenStudy (nincompoop):

ignore the rest of the people

OpenStudy (aripotta):

2(x^2 + 10x + 16)?

OpenStudy (nincompoop):

10 and 16 8+2 and 8x2

OpenStudy (aripotta):

so the x^2s would cancel

OpenStudy (aripotta):

wait

OpenStudy (aripotta):

erg?

OpenStudy (anonymous):

no, that's not true. you want to factor the top and the bottom then

OpenStudy (anonymous):

by factoring, you will get 2*(x+2)*(x+8) on the top, and (x-10)*(x+8)

OpenStudy (anonymous):

do you understand how to get to that step?

OpenStudy (aripotta):

i guess ._.

OpenStudy (anonymous):

ok, if i asked you to factor \[x ^{2}+8x+16\] how would you do it?

OpenStudy (anonymous):

First try factoring the top and bottom and see if anything cancels out.\[\frac{ 2(x^2+10x+16) }{ x^2-2x-80 }=\frac{ 2(x+2)\cancel{(x+8)} }{ (x-10)\cancel{(x+8)} }=\frac{ 2(x+2) }{ (x-10) }\] @AriPotta

OpenStudy (anonymous):

So I first factored out the two. Then I factored the quadratics in the numerator and denominator. Cancelled out x + 8, and the remaining expression is the simplest form it can take. Do you understand? @AriPotta

OpenStudy (aripotta):

ok...thanks

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