-2xy+4 { y }^{ 2 } -9y { x }^{ }
Evaluate
y\left(4y-11x\right)
Factor
y\left(4y-11x\right)
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-2xy+4y^{2}-9yx
Calculate x to the power of 1 and get x.
-11xy+4y^{2}
Combine -2xy and -9yx to get -11xy.
y\left(-2x+4y-9x^{1}\right)
Factor out y.
-11x+4y
Consider -2x+4y-9x. Multiply and combine like terms.
y\left(-11x+4y\right)
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}