Factor
-3\left(2y+1\right)\left(3x^{2}-2\right)
Evaluate
-3\left(2y+1\right)\left(3x^{2}-2\right)
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3\left(2-3x^{2}+4y-6x^{2}y\right)
Factor out 3.
-\left(3x^{2}-2\right)-2y\left(3x^{2}-2\right)
Consider 2-3x^{2}+4y-6x^{2}y. Do the grouping 2-3x^{2}+4y-6x^{2}y=\left(2-3x^{2}\right)+\left(4y-6x^{2}y\right), and factor out -1 in the first and -2y in the second group.
\left(3x^{2}-2\right)\left(-1-2y\right)
Factor out common term 3x^{2}-2 by using distributive property.
3\left(-2y-1\right)\left(3x^{2}-2\right)
Rewrite the complete factored expression. Polynomial 3x^{2}-2 is not factored since it does not have any rational roots.
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
\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}