Evaluate
\left(x-2\right)\left(x+4\right)\left(x^{2}-1\right)
Expand
x^{4}+2x^{3}-9x^{2}-2x+8
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\left(x^{2}-2x+x-2\right)\left(x+4\right)\left(x-1\right)
Apply the distributive property by multiplying each term of x+1 by each term of x-2.
\left(x^{2}-x-2\right)\left(x+4\right)\left(x-1\right)
Combine -2x and x to get -x.
\left(x^{3}+4x^{2}-x^{2}-4x-2x-8\right)\left(x-1\right)
Apply the distributive property by multiplying each term of x^{2}-x-2 by each term of x+4.
\left(x^{3}+3x^{2}-4x-2x-8\right)\left(x-1\right)
Combine 4x^{2} and -x^{2} to get 3x^{2}.
\left(x^{3}+3x^{2}-6x-8\right)\left(x-1\right)
Combine -4x and -2x to get -6x.
x^{4}-x^{3}+3x^{3}-3x^{2}-6x^{2}+6x-8x+8
Apply the distributive property by multiplying each term of x^{3}+3x^{2}-6x-8 by each term of x-1.
x^{4}+2x^{3}-3x^{2}-6x^{2}+6x-8x+8
Combine -x^{3} and 3x^{3} to get 2x^{3}.
x^{4}+2x^{3}-9x^{2}+6x-8x+8
Combine -3x^{2} and -6x^{2} to get -9x^{2}.
x^{4}+2x^{3}-9x^{2}-2x+8
Combine 6x and -8x to get -2x.
\left(x^{2}-2x+x-2\right)\left(x+4\right)\left(x-1\right)
Apply the distributive property by multiplying each term of x+1 by each term of x-2.
\left(x^{2}-x-2\right)\left(x+4\right)\left(x-1\right)
Combine -2x and x to get -x.
\left(x^{3}+4x^{2}-x^{2}-4x-2x-8\right)\left(x-1\right)
Apply the distributive property by multiplying each term of x^{2}-x-2 by each term of x+4.
\left(x^{3}+3x^{2}-4x-2x-8\right)\left(x-1\right)
Combine 4x^{2} and -x^{2} to get 3x^{2}.
\left(x^{3}+3x^{2}-6x-8\right)\left(x-1\right)
Combine -4x and -2x to get -6x.
x^{4}-x^{3}+3x^{3}-3x^{2}-6x^{2}+6x-8x+8
Apply the distributive property by multiplying each term of x^{3}+3x^{2}-6x-8 by each term of x-1.
x^{4}+2x^{3}-3x^{2}-6x^{2}+6x-8x+8
Combine -x^{3} and 3x^{3} to get 2x^{3}.
x^{4}+2x^{3}-9x^{2}+6x-8x+8
Combine -3x^{2} and -6x^{2} to get -9x^{2}.
x^{4}+2x^{3}-9x^{2}-2x+8
Combine 6x and -8x 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}