Answer:
choices 2, 3, and 5
Explanation:
Equivalent means equal to. So you just need to find out if you can transform the expression into the various forms
First multiply them together using the FOIL technique and we get,
2x^2 + 6x - 4x - 12
so the first one doesn't work
pull a 2 out of the first term
2(x-2)(x+3)
so the second one works
the third one is just distributing the second term to each term in the first term.
2x(x+3) - 4(x+3)
That works
in the first equation where we FOIL'd, simplify to this
2x^2 +2x -12
so the last term works
pull a 2 out
2(x^2 +x - 6)
ah, so close but the 4th one doesn't work
So choices 2, 3, and 5 are correct