Evaluate
\left(b+4\right)^{2}+b^{2}
Expand
2b^{2}+8b+16
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b^{2}+8b+16+b^{2}+\left(2b-2b\right)^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(b+4\right)^{2}.
2b^{2}+8b+16+\left(2b-2b\right)^{2}
Combine b^{2} and b^{2} to get 2b^{2}.
2b^{2}+8b+16+0^{2}
Combine 2b and -2b to get 0.
2b^{2}+8b+16+0
Calculate 0 to the power of 2 and get 0.
2b^{2}+8b+16
Add 16 and 0 to get 16.
b^{2}+8b+16+b^{2}+\left(2b-2b\right)^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(b+4\right)^{2}.
2b^{2}+8b+16+\left(2b-2b\right)^{2}
Combine b^{2} and b^{2} to get 2b^{2}.
2b^{2}+8b+16+0^{2}
Combine 2b and -2b to get 0.
2b^{2}+8b+16+0
Calculate 0 to the power of 2 and get 0.
2b^{2}+8b+16
Add 16 and 0 to get 16.
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}