Solve x^2-5x+6/x^2-4*x^2+3x+2/x^2-2x-3

$$\frac { x ^ { 2 } - 5 x + 6 } { x ^ { 2 } - 4 } * \frac { x ^ { 2 } + 3 x + 2 } { x ^ { 2 } - 2 x - 3 }$$

Evaluate

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Short Solution Steps

Factor the expressions that are not already factored in \frac{x^{2}-5x+6}{x^{2}-4}.

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

Cancel out x-2 in both numerator and denominator.

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

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

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

Cancel out x+1 in both numerator and denominator.

$$\frac{x-3}{x+2}\times \frac{x+2}{x-3}$$

Multiply \frac{x-3}{x+2} times \frac{x+2}{x-3} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out \left(x-3\right)\left(x+2\right) in both numerator and denominator.

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Factor

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