# How to Find the Sum of Two Cubes

Spotting a distribution that results in the sum of two cubes is a shortcut to solving distribution problems. To recognize what distribution results in the sum of two cubes, look to see if the distribution has a binomial, (*a + b*), which is the sum between two terms, multiplied by a trinomial,

which has the squares of the two terms and the opposite of their product.

The binomial has a plus sign and the middle term in the trinomial has a minus sign.

Here’s an example:

** a + b** is the binomial and is the sum between two terms because it has a plus sign (+).

The trinomial has the squares of the two terms

and is opposite the product of the two terms.

Here are some examples to give you a better understanding.

** Example 1: **The sign in the binomial is +, so the answer has a +. The cube of 4 is 64.

*Example 2*** : **The opposite of the product of 6 and 5

*yz*is –30

*yz*.