Question

How do you factor `2xy+8x+6y+24`?

Answer 1

`2(y+4)(x+3)`

Explanation:

Group the four terms into two groups.

`(2xy+8x)+(6y+24)`

`=2x(y+4) +6(y+4)" "larr` take out a common factor

`=(y+4)(2x+6)" "larr` take out the common bracket

`=2(y+4)(x+3)" "larr` take out the common factor