Evaluate
\frac{-m-7}{8}
Expand
\frac{-m-7}{8}
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\left(-m+4\right)\times \frac{m+7}{8\left(m-4\right)}
Cancel out m+4 in both numerator and denominator.
\left(-m+4\right)\times \frac{m+7}{8m-32}
Use the distributive property to multiply 8 by m-4.
\frac{\left(-m+4\right)\left(m+7\right)}{8m-32}
Express \left(-m+4\right)\times \frac{m+7}{8m-32} as a single fraction.
\frac{\left(m+7\right)\left(-m+4\right)}{8\left(m-4\right)}
Factor the expressions that are not already factored.
\frac{-\left(m-4\right)\left(m+7\right)}{8\left(m-4\right)}
Extract the negative sign in 4-m.
\frac{-\left(m+7\right)}{8}
Cancel out m-4 in both numerator and denominator.
\frac{-m-7}{8}
Expand the expression.
\left(-m+4\right)\times \frac{m+7}{8\left(m-4\right)}
Cancel out m+4 in both numerator and denominator.
\left(-m+4\right)\times \frac{m+7}{8m-32}
Use the distributive property to multiply 8 by m-4.
\frac{\left(-m+4\right)\left(m+7\right)}{8m-32}
Express \left(-m+4\right)\times \frac{m+7}{8m-32} as a single fraction.
\frac{\left(m+7\right)\left(-m+4\right)}{8\left(m-4\right)}
Factor the expressions that are not already factored.
\frac{-\left(m-4\right)\left(m+7\right)}{8\left(m-4\right)}
Extract the negative sign in 4-m.
\frac{-\left(m+7\right)}{8}
Cancel out m-4 in both numerator and denominator.
\frac{-m-7}{8}
Expand the expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}