Evaluate
\frac{4b}{5}-\frac{a}{3}
Factor
\frac{12b-5a}{15}
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-\frac{1}{3}a-\frac{b}{5}+b
Combine \frac{2}{3}a and -a to get -\frac{1}{3}a.
-\frac{1}{3}a+\frac{4}{5}b
Combine -\frac{b}{5} and b to get \frac{4}{5}b.
\frac{10a-3b-15a+15b}{15}
Factor out \frac{1}{15}.
-5a+12b
Consider 10a-3b-15a+15b. Multiply and combine like terms.
\frac{-5a+12b}{15}
Rewrite the complete factored expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
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