Evaluate
\left(x-3\right)\left(x+1\right)\left(x^{2}-4\right)
Expand
x^{4}-2x^{3}-7x^{2}+8x+12
Graph
Share
Copied to clipboard
\left(x^{2}-2x-3x+6\right)\left(x+1\right)\left(x+2\right)
Apply the distributive property by multiplying each term of x-3 by each term of x-2.
\left(x^{2}-5x+6\right)\left(x+1\right)\left(x+2\right)
Combine -2x and -3x to get -5x.
\left(x^{3}+x^{2}-5x^{2}-5x+6x+6\right)\left(x+2\right)
Apply the distributive property by multiplying each term of x^{2}-5x+6 by each term of x+1.
\left(x^{3}-4x^{2}-5x+6x+6\right)\left(x+2\right)
Combine x^{2} and -5x^{2} to get -4x^{2}.
\left(x^{3}-4x^{2}+x+6\right)\left(x+2\right)
Combine -5x and 6x to get x.
x^{4}+2x^{3}-4x^{3}-8x^{2}+x^{2}+2x+6x+12
Apply the distributive property by multiplying each term of x^{3}-4x^{2}+x+6 by each term of x+2.
x^{4}-2x^{3}-8x^{2}+x^{2}+2x+6x+12
Combine 2x^{3} and -4x^{3} to get -2x^{3}.
x^{4}-2x^{3}-7x^{2}+2x+6x+12
Combine -8x^{2} and x^{2} to get -7x^{2}.
x^{4}-2x^{3}-7x^{2}+8x+12
Combine 2x and 6x to get 8x.
\left(x^{2}-2x-3x+6\right)\left(x+1\right)\left(x+2\right)
Apply the distributive property by multiplying each term of x-3 by each term of x-2.
\left(x^{2}-5x+6\right)\left(x+1\right)\left(x+2\right)
Combine -2x and -3x to get -5x.
\left(x^{3}+x^{2}-5x^{2}-5x+6x+6\right)\left(x+2\right)
Apply the distributive property by multiplying each term of x^{2}-5x+6 by each term of x+1.
\left(x^{3}-4x^{2}-5x+6x+6\right)\left(x+2\right)
Combine x^{2} and -5x^{2} to get -4x^{2}.
\left(x^{3}-4x^{2}+x+6\right)\left(x+2\right)
Combine -5x and 6x to get x.
x^{4}+2x^{3}-4x^{3}-8x^{2}+x^{2}+2x+6x+12
Apply the distributive property by multiplying each term of x^{3}-4x^{2}+x+6 by each term of x+2.
x^{4}-2x^{3}-8x^{2}+x^{2}+2x+6x+12
Combine 2x^{3} and -4x^{3} to get -2x^{3}.
x^{4}-2x^{3}-7x^{2}+2x+6x+12
Combine -8x^{2} and x^{2} to get -7x^{2}.
x^{4}-2x^{3}-7x^{2}+8x+12
Combine 2x and 6x to get 8x.
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}