## How do you factor a difference of cubes step by step?

To factor any difference of cubes, you use the formula a3 – b3 = (a – b)(a2 + ab + b2). A sum of cubes is a binomial of the form: (something)3 + (something else)3. When you recognize a sum of cubes a3 + b3, it factors as (a + b)(a2 – ab + b2).

**How do you factor sum of cubes?**

Summary

- To factor a sum of cubes, we have the form a 3 + b 3 = ( a + b ) ( a 2 − a b + b 2 ) .
- To factor a difference of cubes, we have the form a 3 − b 3 = ( a − b ) ( a 2 + a b + b 2 ) .

### How do you find the difference of two cubes?

The difference of two cubes is equal to the difference of their cube roots times a trinomial, which contains the squares of the cube roots and the opposite of the product of the cube roots.

**What is the sum and difference of two cubes example?**

A polynomial in the form a 3 + b 3 is called a sum of cubes. A polynomial in the form a 3 – b 3 is called a difference of cubes. Factor x 3 + 125. Factor 8 x 3 – 27.

#### Can you work out the sum of cubes in two different ways which equals 1729?

He said it is the smallest number that can be expressed as a sum of two cubes in two different ways: 1729 = 1728 + 1 = 123 + 13 1729 = 1000 + 729 = 103 + 93 1729 has since been known as the Hardy – Ramanujan Number, even though this feature of 1729 was known more than 300 years before Ramanujan.

**Is 1458 a Ramanujan number?**

Suppose, we want to check the number 1458 is a Ramanujan number or not. We get the same number that we have taken. Hence, the given number is a Ramanujan or taxicab number.

## How do we factor the difference of two squares?

When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

**What is the difference of cubes?**

A polynomial in the form a 3 – b 3 is called a difference of cubes.

### What is the formula of cubic equation?

A cubic equation is an algebraic equation of degree three and is of the form ax3 + bx2 + cx + d = 0, where a, b and c are the coefficients and d is the constant.

**How to factor the sum of two perfect cubes?**

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.

#### How do you factor the difference of two perfect cubes?

Factor a GCF from the expression,if possible.

**How to factor the difference of two perfect cubes?**

factoring the difference of two cubes. 1st 2nd 1st 1st 2nd 2nd This is the procedure we use for factoring the difference of two cubes. Step 1 Identify that we have a perfect cube minus another perfect cube. Step 2 Rewrite the problem as a first term cubed minus a second term cubed. (1 st term)3 — (2nd term)3

## How to factor sum or difference of two cubes?

Definition: Difference of Two Cubes.

https://www.youtube.com/watch?v=IoEnBqD0D6w