Factor
2x^{2}\left(5x^{2}+2y^{2}\right)
Evaluate
10x^{4}+4\left(xy\right)^{2}
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x^{2}\left(7x^{2}+8y^{2}-3yx-4y^{2}+3yx+3x^{2}\right)
Factor out x^{2}.
10x^{2}+4y^{2}
Consider 7x^{2}+8y^{2}-3yx-4y^{2}+3yx+3x^{2}. Multiply and combine like terms.
2\left(5x^{2}+2y^{2}\right)
Consider 10x^{2}+4y^{2}. Factor out 2.
2x^{2}\left(5x^{2}+2y^{2}\right)
Rewrite the complete factored expression.
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}