how to simplify this?

Question

when it asks to simplify (-2x + 4)(-x - 3) is the answer 2x2+2x-12 or does simplified include 2(x2+x-6) instead?

Answer 1

(-2x + 4)(-x - 3)
F.O.I.L. (First, Outer, Inner, Last)

=2x^2 +6x - 4x -12
=2x^2 +2x - 12
this is most likely the answer you are looking for

however, a 2 can be factored out of each term giving you:
=2(x^2 + x - 6)

you can also break down the "x^2 + x - 6"

so another possible answer is:

=2(x+3)(x-2)

I would go with the first answer, but if this is a homework assignment have all of those answers on there to show that you "know what you are doing" lol

enjoy, hope this helped.

Answer 2

Mathematically, when asked to simplify an expression, it is put into its simplest form, which means that you factorise it as far as you can, so the answer is:

2[x+3][x-2]

Answer 3

Use the FOIL method.

Meaning: First, Outer, Inner, Last. That's the order you multiply.

So, multiply -2x*-x(First)
Then, -2x*-3(Outer)
Then, 4*-x(Inner)
Then, 4*-3(Last)

I am not going to solve it for you but this should give you the information to solve it.

I hope I helped!

Answer 4

Answer: both are correct. It depends upon one's taste. I'd prefer the latter, 2(x^2 + x -6) though.

Answer 5

(- 2x + 4)(- x - 3) =

2x² - 4x + 6x - 12 =

collect like terms

2x² + 2x - 12

- - - - - - - -s-

Answer 6

ummm hmm..im in accelerated math but i dont think we learned putting 2 paranthasees together with not alike terms. but then again...u might be older than me. no offence. um but i would think maybe u can use distributive property so it becomes.
2x-12.

Answer 7

by simplify in this example it really means expand, so either form should be ok.