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a^{2}+3
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a^{2}+3
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2a^{2}-2a-\left(a+1\right)\left(a-3\right)
Use the distributive property to multiply 2a by a-1.
2a^{2}-2a-\left(a^{2}-3a+a-3\right)
Apply the distributive property by multiplying each term of a+1 by each term of a-3.
2a^{2}-2a-\left(a^{2}-2a-3\right)
Combine -3a and a to get -2a.
2a^{2}-2a-a^{2}-\left(-2a\right)-\left(-3\right)
To find the opposite of a^{2}-2a-3, find the opposite of each term.
2a^{2}-2a-a^{2}+2a-\left(-3\right)
The opposite of -2a is 2a.
2a^{2}-2a-a^{2}+2a+3
The opposite of -3 is 3.
a^{2}-2a+2a+3
Combine 2a^{2} and -a^{2} to get a^{2}.
a^{2}+3
Combine -2a and 2a to get 0.
2a^{2}-2a-\left(a+1\right)\left(a-3\right)
Use the distributive property to multiply 2a by a-1.
2a^{2}-2a-\left(a^{2}-3a+a-3\right)
Apply the distributive property by multiplying each term of a+1 by each term of a-3.
2a^{2}-2a-\left(a^{2}-2a-3\right)
Combine -3a and a to get -2a.
2a^{2}-2a-a^{2}-\left(-2a\right)-\left(-3\right)
To find the opposite of a^{2}-2a-3, find the opposite of each term.
2a^{2}-2a-a^{2}+2a-\left(-3\right)
The opposite of -2a is 2a.
2a^{2}-2a-a^{2}+2a+3
The opposite of -3 is 3.
a^{2}-2a+2a+3
Combine 2a^{2} and -a^{2} to get a^{2}.
a^{2}+3
Combine -2a and 2a to get 0.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}