Factor
\left(5a-1\right)\left(b+c\right)
Evaluate
\left(5a-1\right)\left(b+c\right)
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5a\left(b+c\right)-\left(b+c\right)
Do the grouping 5ab+5ac-c-b=\left(5ab+5ac\right)+\left(-c-b\right), and factor out 5a in the first and -1 in the second group.
\left(b+c\right)\left(5a-1\right)
Factor out common term b+c by using distributive property.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
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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