3 ( 2 x - 4 y ^ { 2 } - \frac { 2 } { 5 } ( x + 10 y )
Evaluate
-12y^{2}+\frac{24x}{5}-12y
Expand
-12y^{2}+\frac{24x}{5}-12y
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3\left(2x-4y^{2}-\frac{2}{5}x-4y\right)
Use the distributive property to multiply -\frac{2}{5} by x+10y.
3\left(\frac{8}{5}x-4y^{2}-4y\right)
Combine 2x and -\frac{2}{5}x to get \frac{8}{5}x.
\frac{24}{5}x-12y^{2}-12y
Use the distributive property to multiply 3 by \frac{8}{5}x-4y^{2}-4y.
3\left(2x-4y^{2}-\frac{2}{5}x-4y\right)
Use the distributive property to multiply -\frac{2}{5} by x+10y.
3\left(\frac{8}{5}x-4y^{2}-4y\right)
Combine 2x and -\frac{2}{5}x to get \frac{8}{5}x.
\frac{24}{5}x-12y^{2}-12y
Use the distributive property to multiply 3 by \frac{8}{5}x-4y^{2}-4y.
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}