Evaluate
\left(a+b\right)^{2}
Expand
a^{2}+2ab+b^{2}
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2a^{2}-2b^{2}-\left(a^{2}-2ab-3b^{2}\right)
To find the opposite of 2ab+3b^{2}, find the opposite of each term.
2a^{2}-2b^{2}-a^{2}+2ab+3b^{2}
To find the opposite of a^{2}-2ab-3b^{2}, find the opposite of each term.
a^{2}-2b^{2}+2ab+3b^{2}
Combine 2a^{2} and -a^{2} to get a^{2}.
a^{2}+b^{2}+2ab
Combine -2b^{2} and 3b^{2} to get b^{2}.
2a^{2}-2b^{2}-\left(a^{2}-2ab-3b^{2}\right)
To find the opposite of 2ab+3b^{2}, find the opposite of each term.
2a^{2}-2b^{2}-a^{2}+2ab+3b^{2}
To find the opposite of a^{2}-2ab-3b^{2}, find the opposite of each term.
a^{2}-2b^{2}+2ab+3b^{2}
Combine 2a^{2} and -a^{2} to get a^{2}.
a^{2}+b^{2}+2ab
Combine -2b^{2} and 3b^{2} to get b^{2}.
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}