Multiplying Monomials Examples

Multiply x(2x)(3x)(4x).

First multiply all of the coefficients:

Next we need to multiply the variables:

xxxx = x⁴

Put it all together, and our answer is 24x⁴.

Multiply 15(2x + 3y – 1).

We still start by changing the subtraction symbol to adding a negative.

15(2x + 3y + -1)

We need to distribute the 15 to each term inside the parentheses.

Finish up with some good old-fashioned multiplication and addition.

15(2x) + 15(3y) + 15(-1) =
30x + 45y – 15

Multiply and simplify -4z(6 + 5z) – 3z.

Again we need to distribute. Don't forget to stretch first.

Now we're cookin'.

-4z(6) + -4z(5z) + -3z =
-24z + -20z² + -3z

Now, don't forget that we need to combine like terms.

-27z – 20z²

Time for a victory dance.