Solve 2m+6/3n-6*6n-12/4m+12

$$\frac { 2 m + 6 } { 3 n - 6 } \cdot \frac { 6 n - 12 } { 4 m + 12 }$$

Evaluate

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Short Solution Steps

Factor the expressions that are not already factored in \frac{6n-12}{4m+12}.

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

Cancel out 2 in both numerator and denominator.

$$\frac{2m+6}{3n-6}\times \frac{3\left(n-2\right)}{2\left(m+3\right)}$$

Multiply \frac{2m+6}{3n-6} times \frac{3\left(n-2\right)}{2\left(m+3\right)} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(2m+6\right)\times 3\left(n-2\right)}{\left(3n-6\right)\times 2\left(m+3\right)}$$

Factor the expressions that are not already factored.

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

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

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Factor

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