Evaluate
2\left(x+2\right)\left(3-3x+5x^{2}-2x^{3}\right)
Expand
12-6x+14x^{2}+2x^{3}-4x^{4}
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6x^{2}-2\left(2x^{2}-x+2\right)\left(x^{2}-3\right)
Multiply -1 and 2 to get -2.
6x^{2}+\left(-4x^{2}+2x-4\right)\left(x^{2}-3\right)
Use the distributive property to multiply -2 by 2x^{2}-x+2.
6x^{2}-4x^{4}+8x^{2}+2x^{3}-6x+12
Use the distributive property to multiply -4x^{2}+2x-4 by x^{2}-3 and combine like terms.
14x^{2}-4x^{4}+2x^{3}-6x+12
Combine 6x^{2} and 8x^{2} to get 14x^{2}.
6x^{2}-2\left(2x^{2}-x+2\right)\left(x^{2}-3\right)
Multiply -1 and 2 to get -2.
6x^{2}+\left(-4x^{2}+2x-4\right)\left(x^{2}-3\right)
Use the distributive property to multiply -2 by 2x^{2}-x+2.
6x^{2}-4x^{4}+8x^{2}+2x^{3}-6x+12
Use the distributive property to multiply -4x^{2}+2x-4 by x^{2}-3 and combine like terms.
14x^{2}-4x^{4}+2x^{3}-6x+12
Combine 6x^{2} and 8x^{2} to get 14x^{2}.
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
\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}