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5u-6
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5u-6
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15\times \frac{1}{3}u+15\left(-\frac{2}{5}\right)
Use the distributive property to multiply 15 by \frac{1}{3}u-\frac{2}{5}.
\frac{15}{3}u+15\left(-\frac{2}{5}\right)
Multiply 15 and \frac{1}{3} to get \frac{15}{3}.
5u+15\left(-\frac{2}{5}\right)
Divide 15 by 3 to get 5.
5u+\frac{15\left(-2\right)}{5}
Express 15\left(-\frac{2}{5}\right) as a single fraction.
5u+\frac{-30}{5}
Multiply 15 and -2 to get -30.
5u-6
Divide -30 by 5 to get -6.
15\times \frac{1}{3}u+15\left(-\frac{2}{5}\right)
Use the distributive property to multiply 15 by \frac{1}{3}u-\frac{2}{5}.
\frac{15}{3}u+15\left(-\frac{2}{5}\right)
Multiply 15 and \frac{1}{3} to get \frac{15}{3}.
5u+15\left(-\frac{2}{5}\right)
Divide 15 by 3 to get 5.
5u+\frac{15\left(-2\right)}{5}
Express 15\left(-\frac{2}{5}\right) as a single fraction.
5u+\frac{-30}{5}
Multiply 15 and -2 to get -30.
5u-6
Divide -30 by 5 to get -6.
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
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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}