Evaluate
\frac{9w}{35}+\frac{81}{70}
Expand
\frac{9w}{35}+\frac{81}{70}
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\frac{-2w-9}{5}\left(-\frac{9}{14}\right)
Fraction \frac{-9}{14} can be rewritten as -\frac{9}{14} by extracting the negative sign.
\frac{-\left(-2w-9\right)\times 9}{5\times 14}
Multiply \frac{-2w-9}{5} times -\frac{9}{14} by multiplying numerator times numerator and denominator times denominator.
\frac{-9\left(-2w-9\right)}{5\times 14}
Multiply -1 and 9 to get -9.
\frac{-9\left(-2w-9\right)}{70}
Multiply 5 and 14 to get 70.
\frac{18w+81}{70}
Use the distributive property to multiply -9 by -2w-9.
\frac{-2w-9}{5}\left(-\frac{9}{14}\right)
Fraction \frac{-9}{14} can be rewritten as -\frac{9}{14} by extracting the negative sign.
\frac{-\left(-2w-9\right)\times 9}{5\times 14}
Multiply \frac{-2w-9}{5} times -\frac{9}{14} by multiplying numerator times numerator and denominator times denominator.
\frac{-9\left(-2w-9\right)}{5\times 14}
Multiply -1 and 9 to get -9.
\frac{-9\left(-2w-9\right)}{70}
Multiply 5 and 14 to get 70.
\frac{18w+81}{70}
Use the distributive property to multiply -9 by -2w-9.
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
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}