Factor
2\left(3x-2y\right)\left(q+3p\right)
Evaluate
2\left(3x-2y\right)\left(q+3p\right)
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2\left(9px-2qy+3qx-6py\right)
Factor out 2.
3p\left(3x-2y\right)+q\left(3x-2y\right)
Consider 9px-2qy+3qx-6py. Do the grouping 9px-2qy+3qx-6py=\left(9px-6py\right)+\left(3qx-2qy\right), and factor out 3p in the first and q in the second group.
\left(3x-2y\right)\left(3p+q\right)
Factor out common term 3x-2y by using distributive property.
2\left(3p+q\right)\left(3x-2y\right)
Rewrite the complete factored expression.
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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