Solve 2x+6/x^2-9*x^2-x-6/2x+4

$$\frac { 2 x + 6 } { x ^ { 2 } - 9 } \cdot \frac { x ^ { 2 } - x - 6 } { 2 x + 4 }$$

Evaluate

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Short Solution Steps

Factor the expressions that are not already factored in \frac{2x+6}{x^{2}-9}.

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

Cancel out x+3 in both numerator and denominator.

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

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

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

Cancel out x+2 in both numerator and denominator.

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

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

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

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

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Factor

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