Question 156502
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.