Evaluate
-\frac{5\left(x+7\right)}{4\left(x-1\right)}
Expand
-\frac{5\left(x+7\right)}{4\left(x-1\right)}
Graph
Quiz
Polynomial
\frac { x ^ { 2 } - x - 12 } { 16 - 4 x } \div \frac { x ^ { 2 } + 2 x - 3 } { 5 x + 35 }
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\frac{\left(x^{2}-x-12\right)\left(5x+35\right)}{\left(16-4x\right)\left(x^{2}+2x-3\right)}
Divide \frac{x^{2}-x-12}{16-4x} by \frac{x^{2}+2x-3}{5x+35} by multiplying \frac{x^{2}-x-12}{16-4x} by the reciprocal of \frac{x^{2}+2x-3}{5x+35}.
\frac{5\left(x-4\right)\left(x+3\right)\left(x+7\right)}{4\left(x-1\right)\left(x+3\right)\left(-x+4\right)}
Factor the expressions that are not already factored.
\frac{-5\left(x+3\right)\left(x+7\right)\left(-x+4\right)}{4\left(x-1\right)\left(x+3\right)\left(-x+4\right)}
Extract the negative sign in -4+x.
\frac{-5\left(x+7\right)}{4\left(x-1\right)}
Cancel out \left(x+3\right)\left(-x+4\right) in both numerator and denominator.
\frac{-5x-35}{4x-4}
Expand the expression.
\frac{\left(x^{2}-x-12\right)\left(5x+35\right)}{\left(16-4x\right)\left(x^{2}+2x-3\right)}
Divide \frac{x^{2}-x-12}{16-4x} by \frac{x^{2}+2x-3}{5x+35} by multiplying \frac{x^{2}-x-12}{16-4x} by the reciprocal of \frac{x^{2}+2x-3}{5x+35}.
\frac{5\left(x-4\right)\left(x+3\right)\left(x+7\right)}{4\left(x-1\right)\left(x+3\right)\left(-x+4\right)}
Factor the expressions that are not already factored.
\frac{-5\left(x+3\right)\left(x+7\right)\left(-x+4\right)}{4\left(x-1\right)\left(x+3\right)\left(-x+4\right)}
Extract the negative sign in -4+x.
\frac{-5\left(x+7\right)}{4\left(x-1\right)}
Cancel out \left(x+3\right)\left(-x+4\right) in both numerator and denominator.
\frac{-5x-35}{4x-4}
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}