Evaluate
\frac{y-3}{y+8}
Expand
\frac{y-3}{y+8}
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\frac{\left(y^{2}-8y+15\right)\left(y+7\right)}{\left(y+7\right)\left(y^{2}+3y-40\right)}
Divide \frac{y^{2}-8y+15}{y+7} by \frac{y^{2}+3y-40}{y+7} by multiplying \frac{y^{2}-8y+15}{y+7} by the reciprocal of \frac{y^{2}+3y-40}{y+7}.
\frac{y^{2}-8y+15}{y^{2}+3y-40}
Cancel out y+7 in both numerator and denominator.
\frac{\left(y-5\right)\left(y-3\right)}{\left(y-5\right)\left(y+8\right)}
Factor the expressions that are not already factored.
\frac{y-3}{y+8}
Cancel out y-5 in both numerator and denominator.
\frac{\left(y^{2}-8y+15\right)\left(y+7\right)}{\left(y+7\right)\left(y^{2}+3y-40\right)}
Divide \frac{y^{2}-8y+15}{y+7} by \frac{y^{2}+3y-40}{y+7} by multiplying \frac{y^{2}-8y+15}{y+7} by the reciprocal of \frac{y^{2}+3y-40}{y+7}.
\frac{y^{2}-8y+15}{y^{2}+3y-40}
Cancel out y+7 in both numerator and denominator.
\frac{\left(y-5\right)\left(y-3\right)}{\left(y-5\right)\left(y+8\right)}
Factor the expressions that are not already factored.
\frac{y-3}{y+8}
Cancel out y-5 in both numerator and denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}