How do you factor by grouping $a b + 2 a + 3 b + 6$ $ab + 2a + 3b + 6$ ?

Question

7493 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-23T12:50:56

$a b + 2 a + 3 b + 6$ $color(red)(ab+2a) + color(blue)(3b+6)$

$= a (b + 2) + 3 (b + 2)$ $= color(red)(a(b+2)) + color(blue)(3(b+2))$

$= (a + 3) (b + 2)$ $= (a+3)(b+2)$

How do you factor by grouping ab+2a+3b+6ab + 2a + 3b + 6?