Evaluate
\left(y-6\right)\left(3y+4\right)
Expand
3y^{2}-14y-24
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\frac{\left(3y^{2}-20y-32\right)\left(y^{2}-13y+42\right)}{\left(y-7\right)\left(y-8\right)}
Multiply \frac{3y^{2}-20y-32}{y-7} times \frac{y^{2}-13y+42}{y-8} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(y-8\right)\left(y-7\right)\left(y-6\right)\left(3y+4\right)}{\left(y-8\right)\left(y-7\right)}
Factor the expressions that are not already factored.
\left(y-6\right)\left(3y+4\right)
Cancel out \left(y-8\right)\left(y-7\right) in both numerator and denominator.
3y^{2}-14y-24
Expand the expression.
\frac{\left(3y^{2}-20y-32\right)\left(y^{2}-13y+42\right)}{\left(y-7\right)\left(y-8\right)}
Multiply \frac{3y^{2}-20y-32}{y-7} times \frac{y^{2}-13y+42}{y-8} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(y-8\right)\left(y-7\right)\left(y-6\right)\left(3y+4\right)}{\left(y-8\right)\left(y-7\right)}
Factor the expressions that are not already factored.
\left(y-6\right)\left(3y+4\right)
Cancel out \left(y-8\right)\left(y-7\right) in both numerator and denominator.
3y^{2}-14y-24
Expand the expression.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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