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\frac{3}{2y}
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\frac{3}{2y}
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\frac{\left(x^{2}-4x+4\right)\left(6x^{2}+18x\right)}{\left(4x^{2}y-8xy\right)\left(x^{2}+x-6\right)}
Divide \frac{x^{2}-4x+4}{4x^{2}y-8xy} by \frac{x^{2}+x-6}{6x^{2}+18x} by multiplying \frac{x^{2}-4x+4}{4x^{2}y-8xy} by the reciprocal of \frac{x^{2}+x-6}{6x^{2}+18x}.
\frac{6x\left(x+3\right)\left(x-2\right)^{2}}{4xy\left(x+3\right)\left(x-2\right)^{2}}
Factor the expressions that are not already factored.
\frac{3}{2y}
Cancel out 2x\left(x+3\right)\left(x-2\right)^{2} in both numerator and denominator.
\frac{\left(x^{2}-4x+4\right)\left(6x^{2}+18x\right)}{\left(4x^{2}y-8xy\right)\left(x^{2}+x-6\right)}
Divide \frac{x^{2}-4x+4}{4x^{2}y-8xy} by \frac{x^{2}+x-6}{6x^{2}+18x} by multiplying \frac{x^{2}-4x+4}{4x^{2}y-8xy} by the reciprocal of \frac{x^{2}+x-6}{6x^{2}+18x}.
\frac{6x\left(x+3\right)\left(x-2\right)^{2}}{4xy\left(x+3\right)\left(x-2\right)^{2}}
Factor the expressions that are not already factored.
\frac{3}{2y}
Cancel out 2x\left(x+3\right)\left(x-2\right)^{2} in both numerator and denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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}