Evaluate
2\left(x+1\right)\left(2x+1\right)\left(2x+3\right)
Expand
8x^{3}+24x^{2}+22x+6
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\left(4x^{2}+2x+4x+2\right)\left(2x+3\right)
Apply the distributive property by multiplying each term of 2x+2 by each term of 2x+1.
\left(4x^{2}+6x+2\right)\left(2x+3\right)
Combine 2x and 4x to get 6x.
8x^{3}+12x^{2}+12x^{2}+18x+4x+6
Apply the distributive property by multiplying each term of 4x^{2}+6x+2 by each term of 2x+3.
8x^{3}+24x^{2}+18x+4x+6
Combine 12x^{2} and 12x^{2} to get 24x^{2}.
8x^{3}+24x^{2}+22x+6
Combine 18x and 4x to get 22x.
\left(4x^{2}+2x+4x+2\right)\left(2x+3\right)
Apply the distributive property by multiplying each term of 2x+2 by each term of 2x+1.
\left(4x^{2}+6x+2\right)\left(2x+3\right)
Combine 2x and 4x to get 6x.
8x^{3}+12x^{2}+12x^{2}+18x+4x+6
Apply the distributive property by multiplying each term of 4x^{2}+6x+2 by each term of 2x+3.
8x^{3}+24x^{2}+18x+4x+6
Combine 12x^{2} and 12x^{2} to get 24x^{2}.
8x^{3}+24x^{2}+22x+6
Combine 18x and 4x to get 22x.
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
Arithmetic
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}