- \frac { 2 } { 5 } a - \frac { 1 } { 2 } b + 0,25 a - 0,25 b + \frac { 3 } { 5 } b
Evaluate
\frac{-3a-3b}{20}
Factor
\frac{3\left(-a-b\right)}{20}
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-\frac{3}{20}a-\frac{1}{2}b-0,25b+\frac{3}{5}b
Combine -\frac{2}{5}a and 0,25a to get -\frac{3}{20}a.
-\frac{3}{20}a-\frac{3}{4}b+\frac{3}{5}b
Combine -\frac{1}{2}b and -0,25b to get -\frac{3}{4}b.
-\frac{3}{20}a-\frac{3}{20}b
Combine -\frac{3}{4}b and \frac{3}{5}b to get -\frac{3}{20}b.
factor(-\frac{3}{20}a-\frac{1}{2}b-0,25b+\frac{3}{5}b)
Combine -\frac{2}{5}a and 0,25a to get -\frac{3}{20}a.
factor(-\frac{3}{20}a-\frac{3}{4}b+\frac{3}{5}b)
Combine -\frac{1}{2}b and -0,25b to get -\frac{3}{4}b.
factor(-\frac{3}{20}a-\frac{3}{20}b)
Combine -\frac{3}{4}b and \frac{3}{5}b to get -\frac{3}{20}b.
\frac{3\left(-a-b\right)}{20}
Factor out \frac{3}{20}.
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
Arithmetic
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}