Expand
x^{3}+12x^{2}+47x+60
Evaluate
\left(x+3\right)\left(x+4\right)\left(x+5\right)
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\left(x^{2}+4x+3x+12\right)\left(x+5\right)
Apply the distributive property by multiplying each term of x+3 by each term of x+4.
\left(x^{2}+7x+12\right)\left(x+5\right)
Combine 4x and 3x to get 7x.
x^{3}+5x^{2}+7x^{2}+35x+12x+60
Apply the distributive property by multiplying each term of x^{2}+7x+12 by each term of x+5.
x^{3}+12x^{2}+35x+12x+60
Combine 5x^{2} and 7x^{2} to get 12x^{2}.
x^{3}+12x^{2}+47x+60
Combine 35x and 12x to get 47x.
\left(x^{2}+4x+3x+12\right)\left(x+5\right)
Apply the distributive property by multiplying each term of x+3 by each term of x+4.
\left(x^{2}+7x+12\right)\left(x+5\right)
Combine 4x and 3x to get 7x.
x^{3}+5x^{2}+7x^{2}+35x+12x+60
Apply the distributive property by multiplying each term of x^{2}+7x+12 by each term of x+5.
x^{3}+12x^{2}+35x+12x+60
Combine 5x^{2} and 7x^{2} to get 12x^{2}.
x^{3}+12x^{2}+47x+60
Combine 35x and 12x to get 47x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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699 * 533
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}