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Arithmetic
5 problems similar to:
4 \times [ ( 5 - 2 ) ( 1 - 3 ) ] ^ { 2 } - ( - 10 - 2 ) ^ { 2 }
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4\times \left(3\left(1-3\right)\right)^{2}-\left(-10-2\right)^{2}
Subtract 2 from 5 to get 3.
4\times \left(3\left(-2\right)\right)^{2}-\left(-10-2\right)^{2}
Subtract 3 from 1 to get -2.
4\left(-6\right)^{2}-\left(-10-2\right)^{2}
Multiply 3 and -2 to get -6.
4\times 36-\left(-10-2\right)^{2}
Calculate -6 to the power of 2 and get 36.
144-\left(-10-2\right)^{2}
Multiply 4 and 36 to get 144.
144-\left(-12\right)^{2}
Subtract 2 from -10 to get -12.
144-144
Calculate -12 to the power of 2 and get 144.
0
Subtract 144 from 144 to get 0.
Examples
Quadratic equation
{ 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}