Evaluate
x^{2}+6xy+7x+10y^{2}+2y
Differentiate w.r.t. x
2x+6y+7
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x^{2}+4xy+y^{2}+12x-6y+2xy+9y^{2}-5x+8y
Combine 3x^{2} and -2x^{2} to get x^{2}.
x^{2}+6xy+y^{2}+12x-6y+9y^{2}-5x+8y
Combine 4xy and 2xy to get 6xy.
x^{2}+6xy+10y^{2}+12x-6y-5x+8y
Combine y^{2} and 9y^{2} to get 10y^{2}.
x^{2}+6xy+10y^{2}+7x-6y+8y
Combine 12x and -5x to get 7x.
x^{2}+6xy+10y^{2}+7x+2y
Combine -6y and 8y to get 2y.
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}