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Arithmetic
5 problems similar to:
\frac{ 3(- { 1 }^{ 2 } )-4(-1)-1 }{ 2( { -1 }^{ 2 } )+5(-1)-3 }
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\frac{3\left(-1\right)-4\left(-1\right)-1}{2\left(-1\right)^{2}+5\left(-1\right)-3}
Calculate 1 to the power of 2 and get 1.
\frac{-3-4\left(-1\right)-1}{2\left(-1\right)^{2}+5\left(-1\right)-3}
Multiply 3 and -1 to get -3.
\frac{-3-\left(-4\right)-1}{2\left(-1\right)^{2}+5\left(-1\right)-3}
Multiply 4 and -1 to get -4.
\frac{-3+4-1}{2\left(-1\right)^{2}+5\left(-1\right)-3}
The opposite of -4 is 4.
\frac{1-1}{2\left(-1\right)^{2}+5\left(-1\right)-3}
Add -3 and 4 to get 1.
\frac{0}{2\left(-1\right)^{2}+5\left(-1\right)-3}
Subtract 1 from 1 to get 0.
\frac{0}{2\times 1+5\left(-1\right)-3}
Calculate -1 to the power of 2 and get 1.
\frac{0}{2+5\left(-1\right)-3}
Multiply 2 and 1 to get 2.
\frac{0}{2-5-3}
Multiply 5 and -1 to get -5.
\frac{0}{-3-3}
Subtract 5 from 2 to get -3.
\frac{0}{-6}
Subtract 3 from -3 to get -6.
0
Zero divided by any non-zero number gives zero.
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}