Evaluate
\left(y-6\right)\left(y+3\right)
Expand
y^{2}-3y-18
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\frac{\left(y^{2}-y-12\right)\left(y^{2}-4y-12\right)}{\left(y+2\right)\left(y-4\right)}
Divide \frac{y^{2}-y-12}{y+2} by \frac{y-4}{y^{2}-4y-12} by multiplying \frac{y^{2}-y-12}{y+2} by the reciprocal of \frac{y-4}{y^{2}-4y-12}.
\frac{\left(y-6\right)\left(y-4\right)\left(y+2\right)\left(y+3\right)}{\left(y-4\right)\left(y+2\right)}
Factor the expressions that are not already factored.
\left(y-6\right)\left(y+3\right)
Cancel out \left(y-4\right)\left(y+2\right) in both numerator and denominator.
y^{2}-3y-18
Expand the expression.
\frac{\left(y^{2}-y-12\right)\left(y^{2}-4y-12\right)}{\left(y+2\right)\left(y-4\right)}
Divide \frac{y^{2}-y-12}{y+2} by \frac{y-4}{y^{2}-4y-12} by multiplying \frac{y^{2}-y-12}{y+2} by the reciprocal of \frac{y-4}{y^{2}-4y-12}.
\frac{\left(y-6\right)\left(y-4\right)\left(y+2\right)\left(y+3\right)}{\left(y-4\right)\left(y+2\right)}
Factor the expressions that are not already factored.
\left(y-6\right)\left(y+3\right)
Cancel out \left(y-4\right)\left(y+2\right) in both numerator and denominator.
y^{2}-3y-18
Expand the expression.
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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