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5a^{2}-3
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5a^{2}-3
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\left(a^{2}-1\right)\left(4+1\right)+\left(2^{2}-1\right)^{2}-\left(2^{2}-3\right)\left(2^{2}+3\right)
Calculate 2 to the power of 2 and get 4.
\left(a^{2}-1\right)\times 5+\left(2^{2}-1\right)^{2}-\left(2^{2}-3\right)\left(2^{2}+3\right)
Add 4 and 1 to get 5.
5a^{2}-5+\left(2^{2}-1\right)^{2}-\left(2^{2}-3\right)\left(2^{2}+3\right)
Use the distributive property to multiply a^{2}-1 by 5.
5a^{2}-5+\left(4-1\right)^{2}-\left(2^{2}-3\right)\left(2^{2}+3\right)
Calculate 2 to the power of 2 and get 4.
5a^{2}-5+3^{2}-\left(2^{2}-3\right)\left(2^{2}+3\right)
Subtract 1 from 4 to get 3.
5a^{2}-5+9-\left(2^{2}-3\right)\left(2^{2}+3\right)
Calculate 3 to the power of 2 and get 9.
5a^{2}+4-\left(2^{2}-3\right)\left(2^{2}+3\right)
Add -5 and 9 to get 4.
5a^{2}+4-\left(4-3\right)\left(2^{2}+3\right)
Calculate 2 to the power of 2 and get 4.
5a^{2}+4-1\left(2^{2}+3\right)
Subtract 3 from 4 to get 1.
5a^{2}+4-1\left(4+3\right)
Calculate 2 to the power of 2 and get 4.
5a^{2}+4-1\times 7
Add 4 and 3 to get 7.
5a^{2}+4-7
Multiply 1 and 7 to get 7.
5a^{2}-3
Subtract 7 from 4 to get -3.
\left(a^{2}-1\right)\left(4+1\right)+\left(2^{2}-1\right)^{2}-\left(2^{2}-3\right)\left(2^{2}+3\right)
Calculate 2 to the power of 2 and get 4.
\left(a^{2}-1\right)\times 5+\left(2^{2}-1\right)^{2}-\left(2^{2}-3\right)\left(2^{2}+3\right)
Add 4 and 1 to get 5.
5a^{2}-5+\left(2^{2}-1\right)^{2}-\left(2^{2}-3\right)\left(2^{2}+3\right)
Use the distributive property to multiply a^{2}-1 by 5.
5a^{2}-5+\left(4-1\right)^{2}-\left(2^{2}-3\right)\left(2^{2}+3\right)
Calculate 2 to the power of 2 and get 4.
5a^{2}-5+3^{2}-\left(2^{2}-3\right)\left(2^{2}+3\right)
Subtract 1 from 4 to get 3.
5a^{2}-5+9-\left(2^{2}-3\right)\left(2^{2}+3\right)
Calculate 3 to the power of 2 and get 9.
5a^{2}+4-\left(2^{2}-3\right)\left(2^{2}+3\right)
Add -5 and 9 to get 4.
5a^{2}+4-\left(4-3\right)\left(2^{2}+3\right)
Calculate 2 to the power of 2 and get 4.
5a^{2}+4-1\left(2^{2}+3\right)
Subtract 3 from 4 to get 1.
5a^{2}+4-1\left(4+3\right)
Calculate 2 to the power of 2 and get 4.
5a^{2}+4-1\times 7
Add 4 and 3 to get 7.
5a^{2}+4-7
Multiply 1 and 7 to get 7.
5a^{2}-3
Subtract 7 from 4 to get -3.
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}