Evaluate
\frac{\left(2t-5\right)\left(t+6\right)}{t+1}
Expand
\frac{2t^{2}+7t-30}{t+1}
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\frac{\left(4t^{2}-25\right)\left(t+6\right)}{2t^{2}+7t+5}
Divide 4t^{2}-25 by \frac{2t^{2}+7t+5}{t+6} by multiplying 4t^{2}-25 by the reciprocal of \frac{2t^{2}+7t+5}{t+6}.
\frac{\left(2t-5\right)\left(t+6\right)\left(2t+5\right)}{\left(t+1\right)\left(2t+5\right)}
Factor the expressions that are not already factored.
\frac{\left(2t-5\right)\left(t+6\right)}{t+1}
Cancel out 2t+5 in both numerator and denominator.
\frac{2t^{2}+7t-30}{t+1}
Expand the expression.
\frac{\left(4t^{2}-25\right)\left(t+6\right)}{2t^{2}+7t+5}
Divide 4t^{2}-25 by \frac{2t^{2}+7t+5}{t+6} by multiplying 4t^{2}-25 by the reciprocal of \frac{2t^{2}+7t+5}{t+6}.
\frac{\left(2t-5\right)\left(t+6\right)\left(2t+5\right)}{\left(t+1\right)\left(2t+5\right)}
Factor the expressions that are not already factored.
\frac{\left(2t-5\right)\left(t+6\right)}{t+1}
Cancel out 2t+5 in both numerator and denominator.
\frac{2t^{2}+7t-30}{t+1}
Expand the expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}