# Math Help - factoring

1. ## factoring

How do i factor 15AsquaredBcubed+10AsquaredBsquared-5ABcubed?

2. $15A^2B^3+10A^2B^2+5AB^3$

In each bit you can divide by 5 without leaving any remainder.

You can also see there's an $A$ in each bit.

Also, there's a $B$ in each bit. In fact, there's at least 2 $B$'s in each bit.

So you can extract a 5, an $A$ and two $B$'s.

This gives, for each bit:

$5AB^2 \times 3AB$

$5AB^2 \times 2A$

$5AB^2 \times B$

So putting it all together we get:

$5AB^2 (3AB + 2A + B)$.

3. Hi,

=15A^2B^3+10A^2B^2-5AB^3
t taking common of 5AB^2