Evaluate
\frac{\left(t-5\right)\left(w-t\right)}{w}
Expand
\frac{-t^{2}+tw+5t-5w}{w}
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\frac{\left(t^{2}-5t\right)\left(w-t\right)^{2}}{\left(w^{2}-tw\right)t}
Divide \frac{t^{2}-5t}{w^{2}-tw} by \frac{t}{\left(w-t\right)^{2}} by multiplying \frac{t^{2}-5t}{w^{2}-tw} by the reciprocal of \frac{t}{\left(w-t\right)^{2}}.
\frac{t\left(t-5\right)\left(-t+w\right)^{2}}{tw\left(-t+w\right)}
Factor the expressions that are not already factored.
\frac{\left(t-5\right)\left(-t+w\right)}{w}
Cancel out t\left(-t+w\right) in both numerator and denominator.
\frac{-t^{2}+tw+5t-5w}{w}
Expand the expression.
\frac{\left(t^{2}-5t\right)\left(w-t\right)^{2}}{\left(w^{2}-tw\right)t}
Divide \frac{t^{2}-5t}{w^{2}-tw} by \frac{t}{\left(w-t\right)^{2}} by multiplying \frac{t^{2}-5t}{w^{2}-tw} by the reciprocal of \frac{t}{\left(w-t\right)^{2}}.
\frac{t\left(t-5\right)\left(-t+w\right)^{2}}{tw\left(-t+w\right)}
Factor the expressions that are not already factored.
\frac{\left(t-5\right)\left(-t+w\right)}{w}
Cancel out t\left(-t+w\right) in both numerator and denominator.
\frac{-t^{2}+tw+5t-5w}{w}
Expand the expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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
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