Solve x^2-5x+4/x^2-x-12*x^2+5x+6/x^2+x-2

$$\frac { x ^ { 2 } - 5 x + 4 } { x ^ { 2 } - x - 12 } \cdot \frac { x ^ { 2 } + 5 x + 6 } { x ^ { 2 } + x - 2 }$$

Evaluate

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Short Solution Steps

Factor the expressions that are not already factored in \frac{x^{2}-5x+4}{x^{2}-x-12}.

$$\frac{\left(x-4\right)\left(x-1\right)}{\left(x-4\right)\left(x+3\right)}\times \frac{x^{2}+5x+6}{x^{2}+x-2}$$

Cancel out x-4 in both numerator and denominator.

$$\frac{x-1}{x+3}\times \frac{x^{2}+5x+6}{x^{2}+x-2}$$

Factor the expressions that are not already factored in \frac{x^{2}+5x+6}{x^{2}+x-2}.

$$\frac{x-1}{x+3}\times \frac{\left(x+2\right)\left(x+3\right)}{\left(x-1\right)\left(x+2\right)}$$

Cancel out x+2 in both numerator and denominator.

$$\frac{x-1}{x+3}\times \frac{x+3}{x-1}$$

Multiply \frac{x-1}{x+3} times \frac{x+3}{x-1} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(x-1\right)\left(x+3\right)}{\left(x+3\right)\left(x-1\right)}$$

Cancel out \left(x-1\right)\left(x+3\right) in both numerator and denominator.

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Factor

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