Evaluate
17b\left(a+5b\right)
Expand
17ab+85b^{2}
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4b^{2}-ab+a^{2}+18ab+81b^{2}-a^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+9b\right)^{2}.
4b^{2}+17ab+a^{2}+81b^{2}-a^{2}
Combine -ab and 18ab to get 17ab.
85b^{2}+17ab+a^{2}-a^{2}
Combine 4b^{2} and 81b^{2} to get 85b^{2}.
85b^{2}+17ab
Combine a^{2} and -a^{2} to get 0.
4b^{2}-ab+a^{2}+18ab+81b^{2}-a^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+9b\right)^{2}.
4b^{2}+17ab+a^{2}+81b^{2}-a^{2}
Combine -ab and 18ab to get 17ab.
85b^{2}+17ab+a^{2}-a^{2}
Combine 4b^{2} and 81b^{2} to get 85b^{2}.
85b^{2}+17ab
Combine a^{2} and -a^{2} to get 0.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}