Solve x^2+5x+4/x^2+3x-4*x^2-2x+1/x^2-1

$$\frac { x ^ { 2 } + 5 x + 4 } { x ^ { 2 } + 3 x - 4 } \cdot \frac { x ^ { 2 } - 2 x + 1 } { x ^ { 2 } - 1 }$$

Evaluate

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Short Solution Steps

Factor the expressions that are not already factored in \frac{x^{2}+5x+4}{x^{2}+3x-4}.

$$\frac{\left(x+1\right)\left(x+4\right)}{\left(x-1\right)\left(x+4\right)}\times \frac{x^{2}-2x+1}{x^{2}-1}$$

Cancel out x+4 in both numerator and denominator.

$$\frac{x+1}{x-1}\times \frac{x^{2}-2x+1}{x^{2}-1}$$

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

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

Cancel out x-1 in both numerator and denominator.

$$\frac{x+1}{x-1}\times \frac{x-1}{x+1}$$

Multiply \frac{x+1}{x-1} times \frac{x-1}{x+1} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out \left(x-1\right)\left(x+1\right) in both numerator and denominator.

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Factor

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