Factor
7\left(8a-3y\right)\left(4z+c\right)
Evaluate
7\left(8a-3y\right)\left(4z+c\right)
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7\left(32az+8ac-12yz-3yc\right)
Factor out 7.
8a\left(4z+c\right)-3y\left(4z+c\right)
Consider 32az+8ac-12yz-3yc. Do the grouping 32az+8ac-12yz-3yc=\left(32az+8ac\right)+\left(-12yz-3yc\right), and factor out 8a in the first and -3y in the second group.
\left(4z+c\right)\left(8a-3y\right)
Factor out common term 4z+c by using distributive property.
7\left(-3y+8a\right)\left(4z+c\right)
Rewrite the complete factored expression.
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}