Solve 3b^2+7b-6/b^2+2b-3*b^2-1/3b^2+b-2

$$\frac { 3 b ^ { 2 } + 7 b - 6 } { b ^ { 2 } + 2 b - 3 } \cdot \frac { b ^ { 2 } - 1 } { 3 b ^ { 2 } + b - 2 }$$

Evaluate

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Short Solution Steps

Factor the expressions that are not already factored in \frac{3b^{2}+7b-6}{b^{2}+2b-3}.

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

Cancel out b+3 in both numerator and denominator.

$$\frac{3b-2}{b-1}\times \frac{b^{2}-1}{3b^{2}+b-2}$$

Factor the expressions that are not already factored in \frac{b^{2}-1}{3b^{2}+b-2}.

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

Cancel out b+1 in both numerator and denominator.

$$\frac{3b-2}{b-1}\times \frac{b-1}{3b-2}$$

Multiply \frac{3b-2}{b-1} times \frac{b-1}{3b-2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(3b-2\right)\left(b-1\right)}{\left(b-1\right)\left(3b-2\right)}$$

Cancel out \left(b-1\right)\left(3b-2\right) in both numerator and denominator.

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Factor

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