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\frac{2}{x+6}
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\frac{2}{x+6}
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\frac{\left(2x-8\right)\left(x^{2}+8x+16\right)}{\left(x^{2}-16\right)\left(x^{2}+10x+24\right)}
Divide \frac{2x-8}{x^{2}-16} by \frac{x^{2}+10x+24}{x^{2}+8x+16} by multiplying \frac{2x-8}{x^{2}-16} by the reciprocal of \frac{x^{2}+10x+24}{x^{2}+8x+16}.
\frac{2\left(x-4\right)\left(x+4\right)^{2}}{\left(x-4\right)\left(x+6\right)\left(x+4\right)^{2}}
Factor the expressions that are not already factored.
\frac{2}{x+6}
Cancel out \left(x-4\right)\left(x+4\right)^{2} in both numerator and denominator.
\frac{\left(2x-8\right)\left(x^{2}+8x+16\right)}{\left(x^{2}-16\right)\left(x^{2}+10x+24\right)}
Divide \frac{2x-8}{x^{2}-16} by \frac{x^{2}+10x+24}{x^{2}+8x+16} by multiplying \frac{2x-8}{x^{2}-16} by the reciprocal of \frac{x^{2}+10x+24}{x^{2}+8x+16}.
\frac{2\left(x-4\right)\left(x+4\right)^{2}}{\left(x-4\right)\left(x+6\right)\left(x+4\right)^{2}}
Factor the expressions that are not already factored.
\frac{2}{x+6}
Cancel out \left(x-4\right)\left(x+4\right)^{2} in both numerator and denominator.
Examples
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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