Evaluate
\left(x+4\right)\left(x^{2}-1\right)
Expand
x^{3}+4x^{2}-x-4
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\left(x^{2}+3x\right)\left(x+1\right)-4\left(x+1\right)
Use the distributive property to multiply x by x+3.
x^{3}+x^{2}+3x^{2}+3x-4\left(x+1\right)
Apply the distributive property by multiplying each term of x^{2}+3x by each term of x+1.
x^{3}+4x^{2}+3x-4\left(x+1\right)
Combine x^{2} and 3x^{2} to get 4x^{2}.
x^{3}+4x^{2}+3x-4x-4
Use the distributive property to multiply -4 by x+1.
x^{3}+4x^{2}-x-4
Combine 3x and -4x to get -x.
\left(x^{2}+3x\right)\left(x+1\right)-4\left(x+1\right)
Use the distributive property to multiply x by x+3.
x^{3}+x^{2}+3x^{2}+3x-4\left(x+1\right)
Apply the distributive property by multiplying each term of x^{2}+3x by each term of x+1.
x^{3}+4x^{2}+3x-4\left(x+1\right)
Combine x^{2} and 3x^{2} to get 4x^{2}.
x^{3}+4x^{2}+3x-4x-4
Use the distributive property to multiply -4 by x+1.
x^{3}+4x^{2}-x-4
Combine 3x and -4x to get -x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
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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}