Evaluate
3x\left(2x^{4}-6x^{3}+3x^{2}+x-2\right)
Expand
6x^{5}-18x^{4}+9x^{3}+3x^{2}-6x
Graph
Share
Copied to clipboard
6x^{5}-12x^{4}+9x^{3}-15x^{2}-6x\left(x^{3}-3x+1\right)
Use the distributive property to multiply 3x^{2} by 2x^{3}-4x^{2}+3x-5.
6x^{5}-12x^{4}+9x^{3}-15x^{2}-6x^{4}+18x^{2}-6x
Use the distributive property to multiply -6x by x^{3}-3x+1.
6x^{5}-18x^{4}+9x^{3}-15x^{2}+18x^{2}-6x
Combine -12x^{4} and -6x^{4} to get -18x^{4}.
6x^{5}-18x^{4}+9x^{3}+3x^{2}-6x
Combine -15x^{2} and 18x^{2} to get 3x^{2}.
6x^{5}-12x^{4}+9x^{3}-15x^{2}-6x\left(x^{3}-3x+1\right)
Use the distributive property to multiply 3x^{2} by 2x^{3}-4x^{2}+3x-5.
6x^{5}-12x^{4}+9x^{3}-15x^{2}-6x^{4}+18x^{2}-6x
Use the distributive property to multiply -6x by x^{3}-3x+1.
6x^{5}-18x^{4}+9x^{3}-15x^{2}+18x^{2}-6x
Combine -12x^{4} and -6x^{4} to get -18x^{4}.
6x^{5}-18x^{4}+9x^{3}+3x^{2}-6x
Combine -15x^{2} and 18x^{2} to get 3x^{2}.
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}