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\frac{x-4}{x-6}
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\frac{x-4}{x-6}
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\frac{\left(x^{2}-x-12\right)\left(2x^{2}+15x+18\right)}{\left(2x^{2}+9x+9\right)\left(x^{2}-36\right)}
Divide \frac{x^{2}-x-12}{2x^{2}+9x+9} by \frac{x^{2}-36}{2x^{2}+15x+18} by multiplying \frac{x^{2}-x-12}{2x^{2}+9x+9} by the reciprocal of \frac{x^{2}-36}{2x^{2}+15x+18}.
\frac{\left(x-4\right)\left(x+3\right)\left(x+6\right)\left(2x+3\right)}{\left(x-6\right)\left(x+3\right)\left(x+6\right)\left(2x+3\right)}
Factor the expressions that are not already factored.
\frac{x-4}{x-6}
Cancel out \left(x+3\right)\left(x+6\right)\left(2x+3\right) in both numerator and denominator.
\frac{\left(x^{2}-x-12\right)\left(2x^{2}+15x+18\right)}{\left(2x^{2}+9x+9\right)\left(x^{2}-36\right)}
Divide \frac{x^{2}-x-12}{2x^{2}+9x+9} by \frac{x^{2}-36}{2x^{2}+15x+18} by multiplying \frac{x^{2}-x-12}{2x^{2}+9x+9} by the reciprocal of \frac{x^{2}-36}{2x^{2}+15x+18}.
\frac{\left(x-4\right)\left(x+3\right)\left(x+6\right)\left(2x+3\right)}{\left(x-6\right)\left(x+3\right)\left(x+6\right)\left(2x+3\right)}
Factor the expressions that are not already factored.
\frac{x-4}{x-6}
Cancel out \left(x+3\right)\left(x+6\right)\left(2x+3\right) in both numerator and denominator.
Examples
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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