Question

How do you evaluate `(2x + 3) ( 4- x )`?

Answer 1

`-2x^2 + 5x + 12`

Explanation:

`(2x+3) (4-x) = (2x+3)*4 + (2x+3)(-x)`
`= 8x + 12 -2x^2 -3x = 12 +5x - 2x^2`

Answer 2

`-2x^2+5x+12`

Explanation:

To multiply two binomials, you want to use FOIL (which I'll explain a bit later). The idea is to multiply each term of one binomial with every term in the other binomial.

FOIL stands for First, Outer, Inner, Last.

First: Multiply the first term of each binomial.
`(2x)*(4)=8x`

Outer: Multiply the outer terms.
`(2x)*(-x)=-2x^2`

Inner: Multiply the inner terms.
`(3)*(4)=12`

Last: Multiply the last term of each binomial.
`(3)*(-x)=-3x`

Now, add everything you've got.

`(8x)+(-2x^2)+(12)+(-3x)`

Finally, simplify.

`-2x^2+5x+12`