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:

#color(white)=2ac+3bd+2bc+3ad#

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

#=color(Red)(2c)(a+b)+3ad+3bd#

#=color(Red)(2c)(a+b)+color(blue)(3d)(a+b)#

#=(color(Red)(2c)+color(blue)(3d))(a+b)#

#=(a+b)(color(Red)(2c)+color(blue)(3d))#

That's the factoring. Hope this helped!