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4b^{2}
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4b^{2}
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a^{2}+4ab+4b^{2}-a\left(a+4b\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+2b\right)^{2}.
a^{2}+4ab+4b^{2}-\left(a^{2}+4ab\right)
Use the distributive property to multiply a by a+4b.
a^{2}+4ab+4b^{2}-a^{2}-4ab
To find the opposite of a^{2}+4ab, find the opposite of each term.
4ab+4b^{2}-4ab
Combine a^{2} and -a^{2} to get 0.
4b^{2}
Combine 4ab and -4ab to get 0.
a^{2}+4ab+4b^{2}-a\left(a+4b\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+2b\right)^{2}.
a^{2}+4ab+4b^{2}-\left(a^{2}+4ab\right)
Use the distributive property to multiply a by a+4b.
a^{2}+4ab+4b^{2}-a^{2}-4ab
To find the opposite of a^{2}+4ab, find the opposite of each term.
4ab+4b^{2}-4ab
Combine a^{2} and -a^{2} to get 0.
4b^{2}
Combine 4ab and -4ab 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}