SOLUTION: Express rational expressions in lowest terms. 1. (2x^2+4x)/(2x^2+6x) 2. x^2+4x+4/x+2 3. 4x^2-12x-40/2x^2-16x+30

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Express rational expressions in lowest terms. 1. (2x^2+4x)/(2x^2+6x) 2. x^2+4x+4/x+2 3. 4x^2-12x-40/2x^2-16x+30      Log On


   

Question 269874: Express rational expressions in lowest terms.
1. (2x^2+4x)/(2x^2+6x)

2. x^2+4x+4/x+2

3. 4x^2-12x-40/2x^2-16x+30
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
1. (2x^2+4x)/(2x^2+6x)
answer:
factoring we get
2x(x+2)/((2x)(x+3))
canceling we get
(x+2/(x+3)
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2. (x^2+4x+4)/(x+2)
answer:
factoring we get
(x+2)^2/(x+2)
canceling we get
x+2
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3. (4x^2-12x-40)/(2x^2-16x+30)
factor to get
4(x-5)(x+2)/(2(x-5)(x-3))
canceling we get
2(x+2)/(x-3)