Evaluate
b\left(a+b\right)
Expand
ab+b^{2}
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a^{2}+2ab+b^{2}-ab-a^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+b\right)^{2}.
a^{2}+ab+b^{2}-a^{2}
Combine 2ab and -ab to get ab.
ab+b^{2}
Combine a^{2} and -a^{2} to get 0.
a^{2}+2ab+b^{2}-ab-a^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+b\right)^{2}.
a^{2}+ab+b^{2}-a^{2}
Combine 2ab and -ab to get ab.
ab+b^{2}
Combine a^{2} and -a^{2} to get 0.
Examples
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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