Evaluate
3a^{2}-2ab+2b^{2}
Differentiate w.r.t. a
6a-2b
Quiz
Algebra
5 problems similar to:
( a ^ { 2 } - a b + b ^ { 2 } ) + ( 2 a ^ { 2 } - a b + b ^ { 2 } )
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3a^{2}-ab+b^{2}-ab+b^{2}
Combine a^{2} and 2a^{2} to get 3a^{2}.
3a^{2}-2ab+b^{2}+b^{2}
Combine -ab and -ab to get -2ab.
3a^{2}-2ab+2b^{2}
Combine b^{2} and b^{2} to get 2b^{2}.
Examples
Quadratic equation
{ 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}