# Math Help - Factor by grouping (don't understand it)

1. ## Factor by grouping (don't understand it)

How would I start this question. I don't know how to do it

FACTOR BY GROUPING:

xy+12+4x+3y

2. Originally Posted by mathhelp23
How would I start this question. I don't know how to do it

FACTOR BY GROUPING:

xy+12+4x+3y
xy+12+4x+3y
collect like terms , thing that look the same

xy + 3y + 4x +12

y(x+3) + 4x +12

3. xy+12+4x+3y

y(x+3) + 4x +12

y(x+3) + 4(x+3) => (y+4)(x+3)

4. Originally Posted by mathhelp23
How would I start this question. I don't know how to do it

FACTOR BY GROUPING:

xy+12+4x+3y
$xy+12+4x+3y$

collect like terms
$(xy+4x)+(12+3y)$

you can see from here that there are like terms in the group, then factor.

$x(y+4)+3(y+4)$

the common factor is y+4, so

$(x+3)(y+4)$

remember the rules in factorization.