Evaluate
a\left(5b-3a\right)
Factor
a\left(5b-3a\right)
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5ab-2a^{2}-a^{2}
Combine 3ab and 2ab to get 5ab.
5ab-3a^{2}
Combine -2a^{2} and -a^{2} to get -3a^{2}.
a\left(3b-2a+2b-a\right)
Factor out a.
-3a+5b
Consider 3b-2a+2b-a. Multiply and combine like terms.
a\left(-3a+5b\right)
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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