# Which method do you use to factor 3x(x-1)+4(x-1) ?

Nov 4, 2014

I'm not sure if this is a method, but
Distributive Property of multiplication over addition is involved.

For easier visualization, let's treat $x - 1$ as one variable, say $y$

$y = x - 1$

$3 x \left(x - 1\right) + 4 \left(x - 1\right)$

$\implies 3 x \left(y\right) + 4 \left(y\right)$

$\implies \left(3 x + 4\right) \left(y\right)$

$\implies \left(3 x + 4\right) \left(x - 1\right)$