SOLUTION: Section 6.1: Reduce each expression to lowest terms. See the Strategy for Reducing Rational Expressions box on page 384. Problem 108 & 112 108. 4w^2 - 12w + 36/ 2w^3 +

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Section 6.1: Reduce each expression to lowest terms. See the Strategy for Reducing Rational Expressions box on page 384. Problem 108 & 112 108. 4w^2 - 12w + 36/ 2w^3 +      Log On


   

Question 422723: Section 6.1:
Reduce each expression to lowest terms. See the Strategy for Reducing Rational Expressions box on page 384. Problem 108 & 112
108. 4w^2 - 12w + 36/
2w^3 + 54


112. x^2 + ax - 4x - 4a/
x^2 - 16

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
[4w^2 - 12w + 36]/[2w^3 + 54]
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Factor to get:
[4(w^2-3w+9)]/[2(w^3+27)]
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= [4(w^2-3w+9)]/[2(w+3)(w^2-3w+9)]
----
= [2]/[(w+3)]
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[x^2 + ax - 4x - 4a]/[x^2 - 16]
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= [x(x+a)-4(x+a)]/[(x-4)(x+4)]
---
= [(x+a)(x-4)]/[(x-4)(x+4)]
----
= (x+a)/(x+4)
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Cheers,
Stan H.
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