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.