Evaluate
-\frac{3w+2}{2\left(w+7\right)}
Expand
-\frac{3w+2}{2\left(w+7\right)}
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\frac{2\left(-3w-1\right)\left(3w-1\right)}{\left(w-3\right)\left(3w+1\right)}\times \frac{3w^{2}-7w-6}{12w^{2}+80w-28}
Factor the expressions that are not already factored in \frac{2-18w^{2}}{3w^{2}-8w-3}.
\frac{-2\left(3w-1\right)\left(3w+1\right)}{\left(w-3\right)\left(3w+1\right)}\times \frac{3w^{2}-7w-6}{12w^{2}+80w-28}
Extract the negative sign in -1-3w.
\frac{-2\left(3w-1\right)}{w-3}\times \frac{3w^{2}-7w-6}{12w^{2}+80w-28}
Cancel out 3w+1 in both numerator and denominator.
\frac{-2\left(3w-1\right)\left(3w^{2}-7w-6\right)}{\left(w-3\right)\left(12w^{2}+80w-28\right)}
Multiply \frac{-2\left(3w-1\right)}{w-3} times \frac{3w^{2}-7w-6}{12w^{2}+80w-28} by multiplying numerator times numerator and denominator times denominator.
\frac{-2\left(w-3\right)\left(3w-1\right)\left(3w+2\right)}{4\left(w-3\right)\left(3w-1\right)\left(w+7\right)}
Factor the expressions that are not already factored.
\frac{-\left(3w+2\right)}{2\left(w+7\right)}
Cancel out 2\left(w-3\right)\left(3w-1\right) in both numerator and denominator.
\frac{-3w-2}{2w+14}
Expand the expression.
\frac{2\left(-3w-1\right)\left(3w-1\right)}{\left(w-3\right)\left(3w+1\right)}\times \frac{3w^{2}-7w-6}{12w^{2}+80w-28}
Factor the expressions that are not already factored in \frac{2-18w^{2}}{3w^{2}-8w-3}.
\frac{-2\left(3w-1\right)\left(3w+1\right)}{\left(w-3\right)\left(3w+1\right)}\times \frac{3w^{2}-7w-6}{12w^{2}+80w-28}
Extract the negative sign in -1-3w.
\frac{-2\left(3w-1\right)}{w-3}\times \frac{3w^{2}-7w-6}{12w^{2}+80w-28}
Cancel out 3w+1 in both numerator and denominator.
\frac{-2\left(3w-1\right)\left(3w^{2}-7w-6\right)}{\left(w-3\right)\left(12w^{2}+80w-28\right)}
Multiply \frac{-2\left(3w-1\right)}{w-3} times \frac{3w^{2}-7w-6}{12w^{2}+80w-28} by multiplying numerator times numerator and denominator times denominator.
\frac{-2\left(w-3\right)\left(3w-1\right)\left(3w+2\right)}{4\left(w-3\right)\left(3w-1\right)\left(w+7\right)}
Factor the expressions that are not already factored.
\frac{-\left(3w+2\right)}{2\left(w+7\right)}
Cancel out 2\left(w-3\right)\left(3w-1\right) in both numerator and denominator.
\frac{-3w-2}{2w+14}
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
Linear equation
y = 3x + 4
Arithmetic
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
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