Evaluate
\left(x+1\right)\left(x+3\right)\left(x+4\right)
Expand
x^{3}+8x^{2}+19x+12
Graph
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\left(x^{2}+x+4x+4\right)\left(x+3\right)
Apply the distributive property by multiplying each term of x+4 by each term of x+1.
\left(x^{2}+5x+4\right)\left(x+3\right)
Combine x and 4x to get 5x.
x^{3}+3x^{2}+5x^{2}+15x+4x+12
Apply the distributive property by multiplying each term of x^{2}+5x+4 by each term of x+3.
x^{3}+8x^{2}+15x+4x+12
Combine 3x^{2} and 5x^{2} to get 8x^{2}.
x^{3}+8x^{2}+19x+12
Combine 15x and 4x to get 19x.
\left(x^{2}+x+4x+4\right)\left(x+3\right)
Apply the distributive property by multiplying each term of x+4 by each term of x+1.
\left(x^{2}+5x+4\right)\left(x+3\right)
Combine x and 4x to get 5x.
x^{3}+3x^{2}+5x^{2}+15x+4x+12
Apply the distributive property by multiplying each term of x^{2}+5x+4 by each term of x+3.
x^{3}+8x^{2}+15x+4x+12
Combine 3x^{2} and 5x^{2} to get 8x^{2}.
x^{3}+8x^{2}+19x+12
Combine 15x and 4x to get 19x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
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}