Evaluate
3x^{2}\left(-3x^{6}+12x-8\right)
Expand
-9x^{8}+36x^{3}-24x^{2}
Graph
Share
Copied to clipboard
3x\left(9x^{7}-12x^{7}+6x^{2}-7x+6x^{2}-7x+6x\right)
Combine x^{7} and 8x^{7} to get 9x^{7}.
3x\left(-3x^{7}+6x^{2}-7x+6x^{2}-7x+6x\right)
Combine 9x^{7} and -12x^{7} to get -3x^{7}.
3x\left(-3x^{7}+12x^{2}-7x-7x+6x\right)
Combine 6x^{2} and 6x^{2} to get 12x^{2}.
3x\left(-3x^{7}+12x^{2}-14x+6x\right)
Combine -7x and -7x to get -14x.
3x\left(-3x^{7}+12x^{2}-8x\right)
Combine -14x and 6x to get -8x.
-9x^{8}+36x^{3}-24x^{2}
Use the distributive property to multiply 3x by -3x^{7}+12x^{2}-8x.
3x\left(9x^{7}-12x^{7}+6x^{2}-7x+6x^{2}-7x+6x\right)
Combine x^{7} and 8x^{7} to get 9x^{7}.
3x\left(-3x^{7}+6x^{2}-7x+6x^{2}-7x+6x\right)
Combine 9x^{7} and -12x^{7} to get -3x^{7}.
3x\left(-3x^{7}+12x^{2}-7x-7x+6x\right)
Combine 6x^{2} and 6x^{2} to get 12x^{2}.
3x\left(-3x^{7}+12x^{2}-14x+6x\right)
Combine -7x and -7x to get -14x.
3x\left(-3x^{7}+12x^{2}-8x\right)
Combine -14x and 6x to get -8x.
-9x^{8}+36x^{3}-24x^{2}
Use the distributive property to multiply 3x by -3x^{7}+12x^{2}-8x.
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}