Evaluate
\frac{a}{3}+\frac{2c}{3}+\frac{3b}{4}-\frac{d}{3}
Factor
\frac{4a+9b+8c-4d}{12}
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\frac{1}{3}a-\frac{3}{4}b+\frac{2}{3}c+\frac{3}{2}b-\frac{1}{3}d
Combine c and -\frac{1}{3}c to get \frac{2}{3}c.
\frac{1}{3}a+\frac{3}{4}b+\frac{2}{3}c-\frac{1}{3}d
Combine -\frac{3}{4}b and \frac{3}{2}b to get \frac{3}{4}b.
\frac{4a-9b+12c-4c+18b-4d}{12}
Factor out \frac{1}{12}.
4a+9b+8c-4d
Consider 4a-9b+12c-4c+18b-4d. Multiply and combine like terms.
\frac{4a+9b+8c-4d}{12}
Rewrite the complete factored expression.
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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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}