## What is the formula for the difference of cubes?

A difference of cubes is a binomial that is of the form (something)3 – (something else)3. 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.

## What is the formula for the difference of two cubes?

The sum or difference of two cubes can be factored into a product of a binomial times a trinomial. That is, x3+y3=(x+y)(x2−xy+y2) and x3−y3=(x−y)(x2+xy+y2) .

**Is there a difference of cubes?**

Sum or Difference of Cubes 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.

### Which of the following is 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 rule of cube?

The cube rule or cube law is an empirical observation regarding elections under the first-past-the-post system. The rule suggests that the party getting the most votes is over-represented (and conversely, the party getting the fewest votes is under-represented).

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

Example from Geometry:

x3 | = | y3 + x2(x − y) + xy(x − y) + y2(x − y) |
---|---|---|

x3 − y3 | = | x2(x − y) + xy(x − y) + y2(x − y) |

x3 − y3 | = | (x − y)(x2 + xy + y2) |

## What is a difference of cubes example?

A polynomial in the form a3– b3is called a difference of cubes. Both of these polynomials have similar factored patterns: A sum of cubes: . A difference of cubes: . Example 1. Factor x3+ 125. Example 2. Factor 8 x3– 27. Example 3.

## What is the rule for the difference of cubes?

Difference of cubes is not really a separate rule, but it can seem a bit confusing since difference of squares and sum of squares are different rules. But your intuition is correct.

**How do you factor a difference of cubes?**

A difference of cubes: Example 1 Factor x3+ 125. Example 2 Factor 8 x3– 27. Example 3 Factor 2 x3+ 128 y3. First find the GCF. GCF = 2 Example 4 Factor x6– y6. First, notice that x6– y6is both a difference of squares and a difference of cubes. In general, factor a difference of squares before factoring a difference of cubes.

### Are cubes harder than squares?

Most of us are comfortable with the square of numbers. Cubes are not harder, just less common. Cubing a number means to multiply it by itself three times. For example, ‘a’ cubed is ‘a’ times ‘a’ times ‘a’. We write ‘a cubed’ as a 3. Let’s build up our vocabulary of cubes.