Factor
\frac{x\left(3xa^{2}+8xb^{2}-2b^{2}a^{3}\right)}{4}
Evaluate
-\frac{xb^{2}a^{3}}{2}+\frac{3\left(ax\right)^{2}}{4}+2\left(bx\right)^{2}
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\frac{3a^{2}x^{2}-2aa^{2}xb^{2}+12b^{2}x^{2}-4b^{2}x^{2}}{4}
Factor out \frac{1}{4}.
x\left(3a^{2}x-2b^{2}a^{3}+12b^{2}x-4b^{2}x\right)
Consider 3a^{2}x^{2}-2xb^{2}a^{3}+12b^{2}x^{2}-4b^{2}x^{2}. Factor out x.
\frac{x\left(3xa^{2}+8xb^{2}-2b^{2}a^{3}\right)}{4}
Rewrite the complete factored expression.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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}