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Mathematics 18 Online
OpenStudy (abbycross167):

Can someone please help me with this math question? Please? I will fan and give a medal!!

OpenStudy (abbycross167):

Please help me to simplify this rational expression - (4x^2-6x-18) (x^2+1) ------------ * ----------- (x+1) (x^2-6x+9)

OpenStudy (wilsondanielle):

Start by smooshing them together! I'll do the numerator, you do the denominator. \[\frac{ (4x ^{2} -6x -18)(x ^{2} +1) }{ denominator }\]

OpenStudy (abbycross167):

(4x^2−6x−18)(x^2+1) ----------------- (x-1)(x^2-6x+9)

OpenStudy (wilsondanielle):

Perfect. Next we have to factor the other polynomials - which one do you want to do first?

OpenStudy (abbycross167):

Top?

OpenStudy (wilsondanielle):

the 4x^2.... one?

OpenStudy (abbycross167):

Yes ma'am

OpenStudy (wilsondanielle):

let's do a box method for it. I'll start it off for you : |dw:1464056166570:dw| What's next?

OpenStudy (abbycross167):

find the factors of 4 and -18?

OpenStudy (wilsondanielle):

not quite - you're going to multiply, and find the factors of the product.

OpenStudy (wilsondanielle):

are you sure you have all the signs right? I've worked ahead and i'm not seeing anything that cancels out...

OpenStudy (abbycross167):

Yes ma'am I wrote it right

OpenStudy (wilsondanielle):

then unless they just want you to break it into factors, there's not much simplification you can do beyond multiplying the two together...

OpenStudy (abbycross167):

Oh I'm not sure it said to simplify completely

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