Evaluate
100\left(x+2y\right)
Expand
100x+200y
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2y\times \frac{150\left(x+2y\right)}{3y}
Factor the expressions that are not already factored in \frac{150x+300y}{3y}.
2y\times \frac{50\left(x+2y\right)}{y}
Cancel out 3 in both numerator and denominator.
\frac{2\times 50\left(x+2y\right)}{y}y
Express 2\times \frac{50\left(x+2y\right)}{y} as a single fraction.
\frac{100\left(x+2y\right)}{y}y
Multiply 2 and 50 to get 100.
100\left(x+2y\right)
Cancel out y and y.
100x+200y
Use the distributive property to multiply 100 by x+2y.
2y\times \frac{150\left(x+2y\right)}{3y}
Factor the expressions that are not already factored in \frac{150x+300y}{3y}.
2y\times \frac{50\left(x+2y\right)}{y}
Cancel out 3 in both numerator and denominator.
\frac{2\times 50\left(x+2y\right)}{y}y
Express 2\times \frac{50\left(x+2y\right)}{y} as a single fraction.
\frac{100\left(x+2y\right)}{y}y
Multiply 2 and 50 to get 100.
100\left(x+2y\right)
Cancel out y and y.
100x+200y
Use the distributive property to multiply 100 by x+2y.
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
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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}