How do you foil (2x+4)(x+3)?

Mar 5, 2018

$2 {x}^{2} + 10 x + 12$

Explanation:

I use a method similar to multiplication; distribute first the $x$ and then the three.

$\left(2 x + 4\right)$
$\left(x + 3\right)$

$2 {x}^{2} + 4 x$

$\text{ " " } + 6 x + 12$

Mar 5, 2018

$\left(2 x + 4\right) \left(x + 3\right) = 2 {x}^{2} + 10 x + 12$

Explanation:

Expand the following binomial product:

$\left(2 x + 4\right) \left(x + 3\right)$

First: $2 x \times x$

Outside: $2 x \times 3$

Inside: $4 \times x$

Last: $4 \times 3$

Now we can combine them by adding them together.

$2 x \times x + 2 x \times 3 + 4 \times x + 4 \times 3$

We can simplify from there.

$2 {x}^{2} + 6 x + 4 x + 12$

$2 {x}^{2} + 10 x + 12$

Because there are no common factors here, we can not simplify it any further.