Evaluate
2\left(a^{2}+b^{2}\right)
Expand
2a^{2}+2b^{2}
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a^{2}-2ab+b^{2}+\left(a+b\right)^{2}
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a-b\right)^{2}.
a^{2}-2ab+b^{2}+a^{2}+2ab+b^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+b\right)^{2}.
2a^{2}-2ab+b^{2}+2ab+b^{2}
Combine a^{2} and a^{2} to get 2a^{2}.
2a^{2}+b^{2}+b^{2}
Combine -2ab and 2ab to get 0.
2a^{2}+2b^{2}
Combine b^{2} and b^{2} to get 2b^{2}.
a^{2}-2ab+b^{2}+\left(a+b\right)^{2}
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a-b\right)^{2}.
a^{2}-2ab+b^{2}+a^{2}+2ab+b^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+b\right)^{2}.
2a^{2}-2ab+b^{2}+2ab+b^{2}
Combine a^{2} and a^{2} to get 2a^{2}.
2a^{2}+b^{2}+b^{2}
Combine -2ab and 2ab to get 0.
2a^{2}+2b^{2}
Combine b^{2} and b^{2} to get 2b^{2}.
Examples
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y = 3x + 4
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Matrix
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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
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Limits
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