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Arithmetic
5 problems similar to:
4 \times 10 = ( 4 \times 5 ) + ( 4 \times 3 ) + ( 4 \times 2 ) =
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40=4\times 5+4\times 3+4\times 2
Multiply 4 and 10 to get 40.
40=20+12+8
Multiply 4 and 5 to get 20. Multiply 4 and 3 to get 12. Multiply 4 and 2 to get 8.
40=32+8
Add 20 and 12 to get 32.
40=40
Add 32 and 8 to get 40.
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Compare 40 and 40.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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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}