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Question 156502This question is from textbook Algebra
: x^2+3x+2 x^2+5x+4
________ / _________
x^2+7x+12 x^2+5x+6
This question is from textbook Algebra
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! x^2+3x+2 x^2+5x+4
________ / _________
x^2+7x+12 x^2+5x+6
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Factor where you can to get:
(x+2)(x+1) (x+4)(x+1)
________ / _________
(x+3)(x+4) (x+3)(x+2)
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Invert the denominator and change to multiplication:
(x+2)(x+1) (x+3)(x+2)
________ * _________
(x+3)(x+4) (x+4)(x+1)
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Cancel factors that are common to a numerator and denominator,
such as (x+1), (x+3)
(x+2) (x+2)
________ * _________
(x+4) (x+4)
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= (x+2)^2 / (x+4)^2
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Cheers,
Stan H.
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