Evaluate
\frac{x+6}{x+10}
Expand
\frac{x+6}{x+10}
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\frac{x^{2}-2x+2x-36}{x^{2}+4x-60}
Since \frac{x^{2}-2x}{x^{2}+4x-60} and \frac{2x-36}{x^{2}+4x-60} have the same denominator, add them by adding their numerators.
\frac{x^{2}-36}{x^{2}+4x-60}
Combine like terms in x^{2}-2x+2x-36.
\frac{\left(x-6\right)\left(x+6\right)}{\left(x-6\right)\left(x+10\right)}
Factor the expressions that are not already factored in \frac{x^{2}-36}{x^{2}+4x-60}.
\frac{x+6}{x+10}
Cancel out x-6 in both numerator and denominator.
\frac{x^{2}-2x+2x-36}{x^{2}+4x-60}
Since \frac{x^{2}-2x}{x^{2}+4x-60} and \frac{2x-36}{x^{2}+4x-60} have the same denominator, add them by adding their numerators.
\frac{x^{2}-36}{x^{2}+4x-60}
Combine like terms in x^{2}-2x+2x-36.
\frac{\left(x-6\right)\left(x+6\right)}{\left(x-6\right)\left(x+10\right)}
Factor the expressions that are not already factored in \frac{x^{2}-36}{x^{2}+4x-60}.
\frac{x+6}{x+10}
Cancel out x-6 in both numerator and denominator.
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Limits
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