Algebra Problem, Multiplying Rational Expressions
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Algebra Problem, Multiplying Rational Expressions

[From: ] [author: ] [Date: 12-12-04] [Hit: ]
........
Ok here is the problem

x^3 + 1 / x^3 - x^2 + x times 10x / -40x - 40

/ denotes fractions and please explain how you got answer, appreciate guys.

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Brackets are helpful, but since you didn't use them, I'll guess that this is the problem:

(x^3+1)/(x^3-x^2+x) * (10x)/(-40x-40) ? If this isn't right, please re-post with use of brackets....

Multiply simply by multiplying across

((x^3+1)*(10x))/((x^3-x^2+x)*(-40x-40))

(10x^4 + 10x)/(-40x^4 + 40x^3 - 40x^2 - 40x^3 + 40x^2 -40x)

Collect like terms

(10x^4 + 10x)/(-40x^4 - 40x)

Factor top and bottom

10x(x^3 + 1)/ (-40x(x^3 + 1))

Now you can cancel out the (x^3+1)'s

10x/-40x

The x's cancel out

-10/40

Reduce

-1/4
1
keywords: Problem,Expressions,Rational,Multiplying,Algebra,Algebra Problem, Multiplying Rational Expressions
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