Evaluate
4+3x-3x^{3}
Expand
4+3x-3x^{3}
Graph
Share
Copied to clipboard
\left(x^{2}-2x+x-2\right)\left(-3x-3\right)-6x-2
Apply the distributive property by multiplying each term of x+1 by each term of x-2.
\left(x^{2}-x-2\right)\left(-3x-3\right)-6x-2
Combine -2x and x to get -x.
-3x^{3}-3x^{2}+3x^{2}+3x+6x+6-6x-2
Apply the distributive property by multiplying each term of x^{2}-x-2 by each term of -3x-3.
-3x^{3}+3x+6x+6-6x-2
Combine -3x^{2} and 3x^{2} to get 0.
-3x^{3}+9x+6-6x-2
Combine 3x and 6x to get 9x.
-3x^{3}+3x+6-2
Combine 9x and -6x to get 3x.
-3x^{3}+3x+4
Subtract 2 from 6 to get 4.
\left(x^{2}-2x+x-2\right)\left(-3x-3\right)-6x-2
Apply the distributive property by multiplying each term of x+1 by each term of x-2.
\left(x^{2}-x-2\right)\left(-3x-3\right)-6x-2
Combine -2x and x to get -x.
-3x^{3}-3x^{2}+3x^{2}+3x+6x+6-6x-2
Apply the distributive property by multiplying each term of x^{2}-x-2 by each term of -3x-3.
-3x^{3}+3x+6x+6-6x-2
Combine -3x^{2} and 3x^{2} to get 0.
-3x^{3}+9x+6-6x-2
Combine 3x and 6x to get 9x.
-3x^{3}+3x+6-2
Combine 9x and -6x to get 3x.
-3x^{3}+3x+4
Subtract 2 from 6 to get 4.
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}