Evaluate
\frac{y}{5}-\frac{3x}{2}
Factor
\frac{2y-15x}{10}
Quiz
Algebra
5 problems similar to:
\frac { 1 } { 2 } x - \frac { 3 } { 5 } y - 2 x + \frac { 4 } { 5 } y
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-\frac{3}{2}x-\frac{3}{5}y+\frac{4}{5}y
Combine \frac{1}{2}x and -2x to get -\frac{3}{2}x.
-\frac{3}{2}x+\frac{1}{5}y
Combine -\frac{3}{5}y and \frac{4}{5}y to get \frac{1}{5}y.
\frac{5x-6y-20x+8y}{10}
Factor out \frac{1}{10}.
-15x+2y
Consider 5x-6y-20x+8y. Multiply and combine like terms.
\frac{-15x+2y}{10}
Rewrite the complete factored expression.
Examples
Quadratic equation
{ 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}