# How do you factor by grouping 8st+28t-10s-35?

Apr 10, 2015

We can factorize the expression by forming groups of 2 terms.

$8 s t + 28 t - 10 s - 35$

$= \left(8 s t + 28 t\right) + \left(- 10 s - 35\right)$

$4 t$ is a common factor in the first group, and $- 5$ is a common factor in the second.

$= 4 t \left(2 s + 7\right) + \left(- 5\right) \cdot \left(2 s + 7\right)$

color(green)( = (2s+7) * (4t - 5) is the factorised form of $8 s t + 28 t - 10 s - 35$