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4a+2
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4a+2
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4a^{2}+4a+1-\left(2a+1\right)\left(-1+2a\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(2a+1\right)^{2}.
4a^{2}+4a+1-\left(4a^{2}-1\right)
Use the distributive property to multiply 2a+1 by -1+2a and combine like terms.
4a^{2}+4a+1-4a^{2}+1
To find the opposite of 4a^{2}-1, find the opposite of each term.
4a+1+1
Combine 4a^{2} and -4a^{2} to get 0.
4a+2
Add 1 and 1 to get 2.
4a^{2}+4a+1-\left(2a+1\right)\left(-1+2a\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(2a+1\right)^{2}.
4a^{2}+4a+1-\left(4a^{2}-1\right)
Use the distributive property to multiply 2a+1 by -1+2a and combine like terms.
4a^{2}+4a+1-4a^{2}+1
To find the opposite of 4a^{2}-1, find the opposite of each term.
4a+1+1
Combine 4a^{2} and -4a^{2} to get 0.
4a+2
Add 1 and 1 to get 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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}