Evaluate
-x\left(x-3\right)\left(x+1\right)
Expand
3x+2x^{2}-x^{3}
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-5x-\left(x^{2}+2x\right)\left(x-4\right)
Use the distributive property to multiply x by x+2.
-5x-\left(x^{3}-4x^{2}+2x^{2}-8x\right)
Apply the distributive property by multiplying each term of x^{2}+2x by each term of x-4.
-5x-\left(x^{3}-2x^{2}-8x\right)
Combine -4x^{2} and 2x^{2} to get -2x^{2}.
-5x-x^{3}-\left(-2x^{2}\right)-\left(-8x\right)
To find the opposite of x^{3}-2x^{2}-8x, find the opposite of each term.
-5x-x^{3}+2x^{2}-\left(-8x\right)
The opposite of -2x^{2} is 2x^{2}.
-5x-x^{3}+2x^{2}+8x
The opposite of -8x is 8x.
3x-x^{3}+2x^{2}
Combine -5x and 8x to get 3x.
-5x-\left(x^{2}+2x\right)\left(x-4\right)
Use the distributive property to multiply x by x+2.
-5x-\left(x^{3}-4x^{2}+2x^{2}-8x\right)
Apply the distributive property by multiplying each term of x^{2}+2x by each term of x-4.
-5x-\left(x^{3}-2x^{2}-8x\right)
Combine -4x^{2} and 2x^{2} to get -2x^{2}.
-5x-x^{3}-\left(-2x^{2}\right)-\left(-8x\right)
To find the opposite of x^{3}-2x^{2}-8x, find the opposite of each term.
-5x-x^{3}+2x^{2}-\left(-8x\right)
The opposite of -2x^{2} is 2x^{2}.
-5x-x^{3}+2x^{2}+8x
The opposite of -8x is 8x.
3x-x^{3}+2x^{2}
Combine -5x and 8x to get 3x.
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}