Solve x^2+7x+12/x^2+12x+27*x^2+16x+63/x^2+11x+28

$$\frac{ { x }^{ 2 } +7x+12 }{ { x }^{ 2 } +12x+27 } \times \frac{ { x }^{ 2 } +16x+63 }{ { x }^{ 2 } +11x+28 }$$

Evaluate

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Short Solution Steps

Factor the expressions that are not already factored in \frac{x^{2}+7x+12}{x^{2}+12x+27}.

$$\frac{\left(x+3\right)\left(x+4\right)}{\left(x+3\right)\left(x+9\right)}\times \frac{x^{2}+16x+63}{x^{2}+11x+28}$$

Cancel out x+3 in both numerator and denominator.

$$\frac{x+4}{x+9}\times \frac{x^{2}+16x+63}{x^{2}+11x+28}$$

Factor the expressions that are not already factored in \frac{x^{2}+16x+63}{x^{2}+11x+28}.

$$\frac{x+4}{x+9}\times \frac{\left(x+7\right)\left(x+9\right)}{\left(x+4\right)\left(x+7\right)}$$

Cancel out x+7 in both numerator and denominator.

$$\frac{x+4}{x+9}\times \frac{x+9}{x+4}$$

Multiply \frac{x+4}{x+9} times \frac{x+9}{x+4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(x+4\right)\left(x+9\right)}{\left(x+9\right)\left(x+4\right)}$$

Cancel out \left(x+4\right)\left(x+9\right) in both numerator and denominator.

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Factor

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