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Quiz
Arithmetic
5 problems similar to:
( 5 - 3 \sqrt { 2 } ) ( 3 + 2 \sqrt { 2 } - 3 - 2 \sqrt { 2 } )
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\left(5-3\sqrt{2}\right)\left(2\sqrt{2}-2\sqrt{2}\right)
Subtract 3 from 3 to get 0.
\left(5-3\sqrt{2}\right)\times 0
Combine 2\sqrt{2} and -2\sqrt{2} to get 0.
0
Anything times zero gives zero.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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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}