Evaluate
\frac{3\left(x^{2}-116\right)}{x^{2}-16}
Expand
\frac{3\left(x^{2}-116\right)}{x^{2}-16}
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\frac{3x\left(x^{2}-116\right)}{\left(x+4\right)\left(x^{2}-4x\right)}
Divide \frac{3x}{x+4} by \frac{x^{2}-4x}{x^{2}-116} by multiplying \frac{3x}{x+4} by the reciprocal of \frac{x^{2}-4x}{x^{2}-116}.
\frac{3x\left(x^{2}-116\right)}{x\left(x-4\right)\left(x+4\right)}
Factor the expressions that are not already factored.
\frac{3\left(x^{2}-116\right)}{\left(x-4\right)\left(x+4\right)}
Cancel out x in both numerator and denominator.
\frac{3x^{2}-348}{x^{2}-16}
Expand the expression.
\frac{3x\left(x^{2}-116\right)}{\left(x+4\right)\left(x^{2}-4x\right)}
Divide \frac{3x}{x+4} by \frac{x^{2}-4x}{x^{2}-116} by multiplying \frac{3x}{x+4} by the reciprocal of \frac{x^{2}-4x}{x^{2}-116}.
\frac{3x\left(x^{2}-116\right)}{x\left(x-4\right)\left(x+4\right)}
Factor the expressions that are not already factored.
\frac{3\left(x^{2}-116\right)}{\left(x-4\right)\left(x+4\right)}
Cancel out x in both numerator and denominator.
\frac{3x^{2}-348}{x^{2}-16}
Expand the expression.
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Limits
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