Solve x^2-4x-12/x^2+9x+14*x^2+10x+21/x^2-3x-18

$$\frac { x ^ { 2 } - 4 x - 12 } { x ^ { 2 } + 9 x + 14 } \cdot \frac { x ^ { 2 } + 10 x + 21 } { x ^ { 2 } - 3 x - 18 }$$

Evaluate

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Short Solution Steps

Factor the expressions that are not already factored in \frac{x^{2}-4x-12}{x^{2}+9x+14}.

$$\frac{\left(x-6\right)\left(x+2\right)}{\left(x+2\right)\left(x+7\right)}\times \frac{x^{2}+10x+21}{x^{2}-3x-18}$$

Cancel out x+2 in both numerator and denominator.

$$\frac{x-6}{x+7}\times \frac{x^{2}+10x+21}{x^{2}-3x-18}$$

Factor the expressions that are not already factored in \frac{x^{2}+10x+21}{x^{2}-3x-18}.

$$\frac{x-6}{x+7}\times \frac{\left(x+3\right)\left(x+7\right)}{\left(x-6\right)\left(x+3\right)}$$

Cancel out x+3 in both numerator and denominator.

$$\frac{x-6}{x+7}\times \frac{x+7}{x-6}$$

Multiply \frac{x-6}{x+7} times \frac{x+7}{x-6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(x-6\right)\left(x+7\right)}{\left(x+7\right)\left(x-6\right)}$$

Cancel out \left(x-6\right)\left(x+7\right) in both numerator and denominator.

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Factor

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