2ac+3 bd+2 bc+3ad?

1 Answer
Apr 21, 2018

The expression factors to (a+b)(2c+3d).

Explanation:

Use the factor by grouping method:

=2ac+3bd+2bc+3ad

=2ac+2bc+3ad+3bd

=2c(a+b)+3ad+3bd

=2c(a+b)+3d(a+b)

=(2c+3d)(a+b)

=(a+b)(2c+3d)

That's the factoring. Hope this helped!