math help: x/x+3 - 3-x/x^2+2x+1 - Help.com



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x/x+3 - 3-x/x^2+2x+1

How do you subtract this? Could someone show me a step by step process?

This open post was written 1 month, 2 weeks ago | V/U/S: 110, 2, 2 | Edit Post | Leave a reply | Report Post


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Anonymous changed the tags on this post: they were "" 1 month, 2 weeks ago.

Arkia Valkair offline Verified User (7 months, 2 weeks) Long Term User Shouts: 8 #
An Unknown Location | 1 month, 2 weeks ago (27 minutes after post)

x/(x + 3) - (3 - x)/(x^2 + 2x + 1)
x/(x + 3) - (3 - x)/(x + 1)^2 //Factor the right denominator
(x(x + 1)^2)/((x + 3)(x + 1)^2) - ((3 - x)(x + 3))/((x + 3)(x + 1)^2) //Get common denominator
[(x(x + 1)^2) - ((x + 3)(3 - x))]/((x + 3)(x + 1)^2) //Combine into one fraction
[x(x^2 + 2x + 1) - (9 - x^2)]/((x + 3)(x^2 + 2x + 1))
[x^3 + 2x^2 + x - 9 + x^2]/(x^3 + 5x^2 + 7x + 3) //Multiply everything out
[x^3 + 3x^2 + x - 9]/(x^3 + 5x^2 + 7x + 3) //Combine like terms…Final Answer(…probably…I can’t see anywhere else to go with this)

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