Question 200598: rational expression in lowest terms: 1. X^2-X-12/X^2-16
2. 3x^2+18x-48/2x+16
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! (1) ( x^2 -x-12) / (x^2 -16)
factor
{ (x-4)(x+3) } / { (x+4) (x-4)
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(x+3) / ( x+4)
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Checking, let x=1, original is 4/5,,,,answer is 4/5,,,ok
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(2) { 3x^2 +18x -48} / { 2x+16)
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3{ x^2 +6x -16 } / { 2(2+8)}
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{ 3 ( x-2)(x+8) } / { 2( x+8) }
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{ 3(x-2) } / 2
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check let x=1, original = -3/2,,,,,answer = -3/2,,,ok
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