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true
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Arithmetic
5 problems similar to:
\left( -2+2 \right) \left( -2 \times 2-1 \right) -(-2-2)(-2+3)=4
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0\left(-2\times 2-1\right)-\left(-2-2\right)\left(-2+3\right)=4
Add -2 and 2 to get 0.
0\left(-4-1\right)-\left(-2-2\right)\left(-2+3\right)=4
Multiply -2 and 2 to get -4.
0\left(-5\right)-\left(-2-2\right)\left(-2+3\right)=4
Subtract 1 from -4 to get -5.
0-\left(-2-2\right)\left(-2+3\right)=4
Multiply 0 and -5 to get 0.
0-\left(-4\left(-2+3\right)\right)=4
Subtract 2 from -2 to get -4.
0-\left(-4\right)=4
Add -2 and 3 to get 1.
0+4=4
The opposite of -4 is 4.
4=4
Add 0 and 4 to get 4.
\text{true}
Compare 4 and 4.
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}