Evaluate
\frac{n^{2}-100}{n+3}
Expand
\frac{n^{2}-100}{n+3}
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\frac{\left(n^{2}-9n-10\right)\left(n+10\right)}{\left(n+1\right)\left(n+3\right)}
Divide \frac{n^{2}-9n-10}{n+1} by \frac{n+3}{n+10} by multiplying \frac{n^{2}-9n-10}{n+1} by the reciprocal of \frac{n+3}{n+10}.
\frac{\left(n-10\right)\left(n+1\right)\left(n+10\right)}{\left(n+1\right)\left(n+3\right)}
Factor the expressions that are not already factored.
\frac{\left(n-10\right)\left(n+10\right)}{n+3}
Cancel out n+1 in both numerator and denominator.
\frac{n^{2}-100}{n+3}
Expand the expression.
\frac{\left(n^{2}-9n-10\right)\left(n+10\right)}{\left(n+1\right)\left(n+3\right)}
Divide \frac{n^{2}-9n-10}{n+1} by \frac{n+3}{n+10} by multiplying \frac{n^{2}-9n-10}{n+1} by the reciprocal of \frac{n+3}{n+10}.
\frac{\left(n-10\right)\left(n+1\right)\left(n+10\right)}{\left(n+1\right)\left(n+3\right)}
Factor the expressions that are not already factored.
\frac{\left(n-10\right)\left(n+10\right)}{n+3}
Cancel out n+1 in both numerator and denominator.
\frac{n^{2}-100}{n+3}
Expand the expression.
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