Evaluate
-\frac{x+6}{x+2}
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-\frac{x+6}{x+2}
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\frac{\left(x^{2}-7x+10\right)\left(x^{2}+3x-18\right)}{\left(x^{2}-8x+15\right)\left(4-x^{2}\right)}
Divide \frac{x^{2}-7x+10}{x^{2}-8x+15} by \frac{4-x^{2}}{x^{2}+3x-18} by multiplying \frac{x^{2}-7x+10}{x^{2}-8x+15} by the reciprocal of \frac{4-x^{2}}{x^{2}+3x-18}.
\frac{\left(x-5\right)\left(x-3\right)\left(x-2\right)\left(x+6\right)}{\left(x-5\right)\left(x-3\right)\left(x-2\right)\left(-x-2\right)}
Factor the expressions that are not already factored.
\frac{x+6}{-x-2}
Cancel out \left(x-5\right)\left(x-3\right)\left(x-2\right) in both numerator and denominator.
\frac{\left(x^{2}-7x+10\right)\left(x^{2}+3x-18\right)}{\left(x^{2}-8x+15\right)\left(4-x^{2}\right)}
Divide \frac{x^{2}-7x+10}{x^{2}-8x+15} by \frac{4-x^{2}}{x^{2}+3x-18} by multiplying \frac{x^{2}-7x+10}{x^{2}-8x+15} by the reciprocal of \frac{4-x^{2}}{x^{2}+3x-18}.
\frac{\left(x-5\right)\left(x-3\right)\left(x-2\right)\left(x+6\right)}{\left(x-5\right)\left(x-3\right)\left(x-2\right)\left(-x-2\right)}
Factor the expressions that are not already factored.
\frac{x+6}{-x-2}
Cancel out \left(x-5\right)\left(x-3\right)\left(x-2\right) in both numerator and denominator.
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