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\frac{1}{3w+2}
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\frac{1}{3w+2}
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\frac{w^{2}+2w-3}{\left(3w^{2}-w-2\right)\left(w+3\right)}
Express \frac{\frac{w^{2}+2w-3}{3w^{2}-w-2}}{w+3} as a single fraction.
\frac{\left(w-1\right)\left(w+3\right)}{\left(w-1\right)\left(w+3\right)\left(3w+2\right)}
Factor the expressions that are not already factored.
\frac{1}{3w+2}
Cancel out \left(w-1\right)\left(w+3\right) in both numerator and denominator.
\frac{w^{2}+2w-3}{\left(3w^{2}-w-2\right)\left(w+3\right)}
Express \frac{\frac{w^{2}+2w-3}{3w^{2}-w-2}}{w+3} as a single fraction.
\frac{\left(w-1\right)\left(w+3\right)}{\left(w-1\right)\left(w+3\right)\left(3w+2\right)}
Factor the expressions that are not already factored.
\frac{1}{3w+2}
Cancel out \left(w-1\right)\left(w+3\right) in both numerator and denominator.
Examples
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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
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Limits
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