Evaluate
\frac{5\left(m+1\right)}{3}
Expand
\frac{5m+5}{3}
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\frac{\left(2m^{2}-2\right)\times 5m}{m\left(6m-6\right)}
Divide \frac{2m^{2}-2}{m} by \frac{6m-6}{5m} by multiplying \frac{2m^{2}-2}{m} by the reciprocal of \frac{6m-6}{5m}.
\frac{5\left(2m^{2}-2\right)}{6m-6}
Cancel out m in both numerator and denominator.
\frac{2\times 5\left(m-1\right)\left(m+1\right)}{6\left(m-1\right)}
Factor the expressions that are not already factored.
\frac{5\left(m+1\right)}{3}
Cancel out 2\left(m-1\right) in both numerator and denominator.
\frac{5m+5}{3}
Expand the expression.
\frac{\left(2m^{2}-2\right)\times 5m}{m\left(6m-6\right)}
Divide \frac{2m^{2}-2}{m} by \frac{6m-6}{5m} by multiplying \frac{2m^{2}-2}{m} by the reciprocal of \frac{6m-6}{5m}.
\frac{5\left(2m^{2}-2\right)}{6m-6}
Cancel out m in both numerator and denominator.
\frac{2\times 5\left(m-1\right)\left(m+1\right)}{6\left(m-1\right)}
Factor the expressions that are not already factored.
\frac{5\left(m+1\right)}{3}
Cancel out 2\left(m-1\right) in both numerator and denominator.
\frac{5m+5}{3}
Expand the expression.
Examples
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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
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