Evaluate
-\frac{2m-1}{8m+3}
Expand
-\frac{2m-1}{8m+3}
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\frac{2\left(2m-1\right)\left(-2m+1\right)}{2\left(2m-1\right)\left(8m+3\right)}
Factor the expressions that are not already factored.
\frac{-2\left(2m-1\right)\left(2m-1\right)}{2\left(2m-1\right)\left(8m+3\right)}
Extract the negative sign in 1-2m.
\frac{-\left(2m-1\right)}{8m+3}
Cancel out 2\left(2m-1\right) in both numerator and denominator.
\frac{-2m+1}{8m+3}
Expand the expression.
\frac{2\left(2m-1\right)\left(-2m+1\right)}{2\left(2m-1\right)\left(8m+3\right)}
Factor the expressions that are not already factored.
\frac{-2\left(2m-1\right)\left(2m-1\right)}{2\left(2m-1\right)\left(8m+3\right)}
Extract the negative sign in 1-2m.
\frac{-\left(2m-1\right)}{8m+3}
Cancel out 2\left(2m-1\right) in both numerator and denominator.
\frac{-2m+1}{8m+3}
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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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}