Multiplying Binomials Examples

Multiply (5y + 3x)(8y – 1).

First, change the subtraction symbol to the addition symbol and make the 1 negative.

(5y + 3x)(8y + -1)

Now use the distributive property twice, like a champ.

(5y + 3x)(8y) + (5y + 3x)(-1) =
(5y)(8y) + (3x)(8y) + (5y)(-1) + (3x)(-1)

All together now: 40y² + 24xy – 5y – 3x

There are no like terms to combine, so we're done.

Multiply .

We'll use the box method this time. First, change the subtraction symbol to addition.

Now box it up.

Add all those terms in the boxes.

x² + 5x – 5x – 25

Combine like terms and we're dunzo.

x² – 25

Multiply .

There's no subtraction, so we don't need to worry about adding the opposite. Let's go with the box method again, yeah?

All together:

Smash those like terms together.

The end.