a3 + b3 Formula

1. What is Expansion Formula of a³ + b³?

The expansion formula of a³ + b³ is given as,

a³ + b³ = (a + b)(a² – ab + b²)

2. What is Difference of Square Formula?

The difference of square formula is the formula in mathematics that is used to find the difference of two squares without actually calculating the squares. The difference of square formula is given as,

a² – b² = (a + b)(a – b)

3. What is Use of a³ + b³ Formula?

The a³ + b³ formula is used to find the sum of two cubes without actually calculating the cubes and it helps to simplify algebraic problems. It is also used to solve trigonometric problems and others.

4. What is Sum of First ‘n’ Cubes?

The sum of first n cubes is given by the formula,

1³ + 2³ + 3³ + … + n³ = n².(n + 1)²/4

5. What is Sum of Cubes from 1 to 100?

The sum of cubes of 1 to 100 is 6,376,625 which can be represented as:

1³ + 2³ + 3³ + . . .  + 100³ = 6,376,625

6. What are Factors of a³ + b³?

The factors of a³ + b³ is given as,

a³ + b³ = (a + b)(a² + b² – ab)

7. What is Formula for a³ + b³?

The formula for a³ + b³ is given as, a³ + b³ = (a + b)(a² – ab + b²)

a³ + b³ formula which is also called the sum of cubes formula, in algebra is the fundamental algebra formula that is used to find the sum of cubes of any two numbers without actually calculating their cubes. a³ + b³ formula is also used to find the factors of a³ + b³. This helps to simplify various algebraic expressions.

In this article, we will learn about, the a³ + b³ formula, factors of a³ + b³, examples, and others in detail.