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

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Answer 1 · 2018-04-21T05:12:08

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

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

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

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

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

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

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

That's the factoring. Hope this helped!