Evaluate
\frac{3x\left(x-y\right)}{11}
Expand
\frac{3x^{2}-3xy}{11}
Quiz
Algebra
( x ^ { 2 } - 4 x y + 4 y ^ { 2 } + x ^ { 2 } - 4 y ^ { 2 } + 4 x ^ { 2 } - 2 x y ) \div 22
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\frac{2x^{2}-4xy+4y^{2}-4y^{2}+4x^{2}-2xy}{22}
Combine x^{2} and x^{2} to get 2x^{2}.
\frac{2x^{2}-4xy+4x^{2}-2xy}{22}
Combine 4y^{2} and -4y^{2} to get 0.
\frac{6x^{2}-4xy-2xy}{22}
Combine 2x^{2} and 4x^{2} to get 6x^{2}.
\frac{6x^{2}-6xy}{22}
Combine -4xy and -2xy to get -6xy.
\frac{2x^{2}-4xy+4y^{2}-4y^{2}+4x^{2}-2xy}{22}
Combine x^{2} and x^{2} to get 2x^{2}.
\frac{2x^{2}-4xy+4x^{2}-2xy}{22}
Combine 4y^{2} and -4y^{2} to get 0.
\frac{6x^{2}-4xy-2xy}{22}
Combine 2x^{2} and 4x^{2} to get 6x^{2}.
\frac{6x^{2}-6xy}{22}
Combine -4xy and -2xy to get -6xy.
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}