# How to factor the difference of two perfect cubes

##### 2020-01-21 07:09

Nov 03, 2016 This algebra video tutorial focuses on factoring sums and differences of cubes. This video contains plenty of examples and practice problems factoring sums and differences of cubes along with theThe sum of two cubes equals the sum of its roots times the squares of its roots minus the product of the roots, which looks like. Like the results of factoring the difference of two cubes, the results of factoring the sum of two cubes is also made up of: A binomial factor (a b), and. A trinomial factor, how to factor the difference of two perfect cubes

May 05, 2016  Sum of Two Perfect Cubes. You will need to know how to factor the sum of perfect cubes for your math test. An algebraic expression for the sum of perfect cubes is as follows: x 3 y 3. The form for factoring the sum of perfect cubes is: x 3 y 3 (x y)(x 2 xy y 2) You should also know the above above form by heart for your math test.

Apr 24, 2017 How to Factor a Perfect Cube. To do this, you will need to factor the sum or difference into a binomial (twoterm) and trinomial (threeterm) expression. You can use the acronym SOAP to assist in factoring the sum or difference. SOAP refers to the signs of the factored expression from left to right, with the binomial first, To factor the difference of two perfect cubes, remember this rule: the difference of two perfect cubes equals the difference of their cube roots multiplied by the sum of their squares and the product of their cube roots. The binomial expression looks like this: The results of factoring the difference of perfect cubeshow to factor the difference of two perfect cubes The distinction between the two formulas is in the location of that one minus sign: For the difference of cubes, the minus sign goes in the linear factor, a b; for the sum of cubes, the minus sign goes in the quadratic factor, a 2 ab b 2.

## How to factor the difference of two perfect cubes free

Step 1: Decide if the two terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer. In this case, the two terms only have a 1 in common which is of no help. Step 2: Rewrite the original problem as a difference of two perfect cubes. how to factor the difference of two perfect cubes

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