Evaluate
\frac{x+2}{x-4}
Expand
\frac{x+2}{x-4}
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\frac{\left(x-4\right)\left(x^{2}+4x+4\right)}{\left(x+2\right)\left(x^{2}-8x+16\right)}
Divide \frac{x-4}{x+2} by \frac{x^{2}-8x+16}{x^{2}+4x+4} by multiplying \frac{x-4}{x+2} by the reciprocal of \frac{x^{2}-8x+16}{x^{2}+4x+4}.
\frac{\left(x-4\right)\left(x+2\right)^{2}}{\left(x+2\right)\left(x-4\right)^{2}}
Factor the expressions that are not already factored.
\frac{x+2}{x-4}
Cancel out \left(x-4\right)\left(x+2\right) in both numerator and denominator.
\frac{\left(x-4\right)\left(x^{2}+4x+4\right)}{\left(x+2\right)\left(x^{2}-8x+16\right)}
Divide \frac{x-4}{x+2} by \frac{x^{2}-8x+16}{x^{2}+4x+4} by multiplying \frac{x-4}{x+2} by the reciprocal of \frac{x^{2}-8x+16}{x^{2}+4x+4}.
\frac{\left(x-4\right)\left(x+2\right)^{2}}{\left(x+2\right)\left(x-4\right)^{2}}
Factor the expressions that are not already factored.
\frac{x+2}{x-4}
Cancel out \left(x-4\right)\left(x+2\right) in both numerator and denominator.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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