Solve 3x^2+5x+2/x^2-x-2*x^2+x-6/3x^2+11x+6

$$\frac { 3 x ^ { 2 } + 5 x + 2 } { x ^ { 2 } - x - 2 } \times \frac { x ^ { 2 } + x - 6 } { 3 x ^ { 2 } + 11 x + 6 }$$

Evaluate

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Short Solution Steps

Factor the expressions that are not already factored in \frac{3x^{2}+5x+2}{x^{2}-x-2}.

$$\frac{\left(x+1\right)\left(3x+2\right)}{\left(x-2\right)\left(x+1\right)}\times \frac{x^{2}+x-6}{3x^{2}+11x+6}$$

Cancel out x+1 in both numerator and denominator.

$$\frac{3x+2}{x-2}\times \frac{x^{2}+x-6}{3x^{2}+11x+6}$$

Factor the expressions that are not already factored in \frac{x^{2}+x-6}{3x^{2}+11x+6}.

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

Cancel out x+3 in both numerator and denominator.

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

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

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

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

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Factor

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