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Arithmetic
5 problems similar to:
3 \frac { 5 } { 8 } \times 3 = ( 3 + \frac { 5 } { 8 } ) \times 3
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\frac{3\times 8+5}{8}=3+\frac{5}{8}
Cancel out 3 on both sides.
3\times 8+5=24+5
Multiply both sides of the equation by 8.
24+5=24+5
Multiply 3 and 8 to get 24.
29=24+5
Add 24 and 5 to get 29.
29=29
Add 24 and 5 to get 29.
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Compare 29 and 29.
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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
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Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}