Evaluate
-\left(x-1\right)\left(x+2\right)\left(x+4\right)
Expand
8-2x-5x^{2}-x^{3}
Graph
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\left(-x-\left(-1\right)\right)\left(x+4\right)\left(x+2\right)
To find the opposite of x-1, find the opposite of each term.
\left(-x+1\right)\left(x+4\right)\left(x+2\right)
The opposite of -1 is 1.
\left(-x^{2}-4x+x+4\right)\left(x+2\right)
Apply the distributive property by multiplying each term of -x+1 by each term of x+4.
\left(-x^{2}-3x+4\right)\left(x+2\right)
Combine -4x and x to get -3x.
-x^{3}-2x^{2}-3x^{2}-6x+4x+8
Apply the distributive property by multiplying each term of -x^{2}-3x+4 by each term of x+2.
-x^{3}-5x^{2}-6x+4x+8
Combine -2x^{2} and -3x^{2} to get -5x^{2}.
-x^{3}-5x^{2}-2x+8
Combine -6x and 4x to get -2x.
\left(-x-\left(-1\right)\right)\left(x+4\right)\left(x+2\right)
To find the opposite of x-1, find the opposite of each term.
\left(-x+1\right)\left(x+4\right)\left(x+2\right)
The opposite of -1 is 1.
\left(-x^{2}-4x+x+4\right)\left(x+2\right)
Apply the distributive property by multiplying each term of -x+1 by each term of x+4.
\left(-x^{2}-3x+4\right)\left(x+2\right)
Combine -4x and x to get -3x.
-x^{3}-2x^{2}-3x^{2}-6x+4x+8
Apply the distributive property by multiplying each term of -x^{2}-3x+4 by each term of x+2.
-x^{3}-5x^{2}-6x+4x+8
Combine -2x^{2} and -3x^{2} to get -5x^{2}.
-x^{3}-5x^{2}-2x+8
Combine -6x and 4x to get -2x.
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}