How do you factor by grouping 15x^3- 6x^2- 25x +10?

May 7, 2015

We can make groups of 2 to factorise this expression:

$\left(15 {x}^{3} - 6 {x}^{2}\right) - \left(25 x - 10\right)$

$3 {x}^{2}$ is common to both the terms in the first group, and $5$ is common to both the terms in the second group

We can write the expression as :

$3 {x}^{2} \left(5 x - 2\right) - 5 \left(5 x - 2\right)$

The term $\left(5 x - 2\right)$ is common to both the terms

=color(green)((5x - 2)(3x^2 - 5)