Evaluate
-11x^{2}+7xy-7y^{2}
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-11x^{2}+7xy-7y^{2}
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-2x^{2}+2y^{2}-2xy-9\left(x^{2}+y^{2}-xy\right)
Use the distributive property to multiply -2 by x^{2}-y^{2}+xy.
-2x^{2}+2y^{2}-2xy-9x^{2}-9y^{2}+9xy
Use the distributive property to multiply -9 by x^{2}+y^{2}-xy.
-11x^{2}+2y^{2}-2xy-9y^{2}+9xy
Combine -2x^{2} and -9x^{2} to get -11x^{2}.
-11x^{2}-7y^{2}-2xy+9xy
Combine 2y^{2} and -9y^{2} to get -7y^{2}.
-11x^{2}-7y^{2}+7xy
Combine -2xy and 9xy to get 7xy.
-2x^{2}+2y^{2}-2xy-9\left(x^{2}+y^{2}-xy\right)
Use the distributive property to multiply -2 by x^{2}-y^{2}+xy.
-2x^{2}+2y^{2}-2xy-9x^{2}-9y^{2}+9xy
Use the distributive property to multiply -9 by x^{2}+y^{2}-xy.
-11x^{2}+2y^{2}-2xy-9y^{2}+9xy
Combine -2x^{2} and -9x^{2} to get -11x^{2}.
-11x^{2}-7y^{2}-2xy+9xy
Combine 2y^{2} and -9y^{2} to get -7y^{2}.
-11x^{2}-7y^{2}+7xy
Combine -2xy and 9xy to get 7xy.
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}