## What 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. A number’s opposite is that same number with a different sign in front.

## What are the perfect cubes?

Perfect cube numbers can be obtained by multiplying every number thrice by itself. For example, 1 × 1 × 1 = 1 and 2 × 2 × 2 = 8 and so on. The list of perfect cubes from 1 to 10 is as follows: 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.

**What Monomial is a perfect cube?**

A perfect cube monomial is a monomial with a cube root that is a monomial. In other words, it is a monomial, A, such that there exists a monomial, B,…

### Which is a sum of cubes?

A sum of cubes is a two-term expression where both terms are cubes and each term has the same sign. It is factored according to the following formula: a3 + b3 = (a + b) (a2 – ab + b2)

### Which number is a perfect cube?

64

Therefore, 64 is a perfect cube. Therefore, perfect cube = number × number × number. The cube root of 64 is 4….List of Perfect Cubes from 1 to 50.

Number | Multiplication Fact | Perfect Cube |
---|---|---|

6 | 6 × 6 × 6 | 216 |

7 | 7 × 7 × 7 | 343 |

8 | 8 × 8 × 8 | 512 |

9 | 9 × 9 × 9 | 729 |

**Is 45 a perfect cube?**

Is 45 a Perfect Cube? The number 45 on prime factorization gives 3 × 3 × 5. Therefore the cube root of 45 is irrational, hence 45 is not a perfect cube.

#### What are the first 10 perfect cubes?

The first ten cube numbers are 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1000.

#### What is the formula for perfect cube?

Formula Used to calculate the sum of two cube: Perfect Cubes Addition = a 3 + b 3. Let us consider 2 numbers say a and b Cube of the first number = a 3 Cube of the second number = b 3 Sum of two cubes = cube of the first number + cube of the second number.

**What is an example of a perfect cube?**

A perfect cube is a number that is the cube of an integer. For example, 125 is a perfect cube since 125 = 5 × 5 × 5= 5 3. Some examples of perfect cubes are 1, 8, 27, 64, 125, 216, 343, .. What is a Cube Root? The opposite of cubing a number is finding the cube root.

## Which expression is sum of cubes?

Sum of Cubes. A sum of cubes is an expression such as x 3 + a 3, where both members of the expression are perfect cubes. Suppose the expression is 8y 3 + 27. The monomial 8y 3 is a perfect cube of 2y, because (2y) 3 equals 8y 3.

## What is a perfect square trinomial?

A perfect square trinomial is the square of a binomial. It follows a pattern when it is factored, so that the first and last terms are perfect squares of monomials and the middle term is twice their product.