Sum and Differences of Cubes
What is the sum of cubes?
Sum of the cubes is the used to find the sum of two cubes without actually finding its cubes arithmetically. It is represented as a3 + b3.
What is the sum of cubes formula?
The sum of the cubes formula is the formula that is used to factorize the a3 + b3 and its formula is, a3 + b3 = (a + b) (a2 – ab + b2)
What is the difference of cubes?
Difference of the cubes is the used to find the difference of two cubes without actually finding its cubes arithmetically. It is represented as a3 – b3.
What is the difference of cubes formula?
The difference of the cubes formula is the formula that is used to factorize the a3 – b3 and its formula is, a3 – b3 = (a – b) (a2 + ab + b2)
What is the cube of 9?
The cube of 9 is 729, i.e. 93 = 9×9×9 = 729.
What is the cube root of 1331?
The cube root of 1331 is 11, i.e. ∛(1331) = ∛(11×11×11) = 11.
What is the cube of 13?
The cube of 13 is 729, i.e. 133 = 13×13×13 = 2197.
What is cube root of 8?
The cube root of 8 is 2, i.e. ∛(8) = ∛(2×2×2) = 2.
Sum and Difference of Cubes
The sum and difference of cubes are algebraic formulas used to factor expressions of the form a3+b3 and a3−b3 respectively. These formulas are particularly useful in simplifying and solving polynomial equations.
It is the basic formula of algebra used to solve the sum of the cubes and the difference of the cubes without actually calculating the values of the cubes. The sum of the cubes of the polynomial is represented as, a3 + b3 whereas the difference of the cubes is represented as a3– b3. These algebraic expressions are easily factorized using various algebraic expressions without actually calculating the cubes.
In this article, we will learn about Sum of Cubes, Sum of Cubes Formula, Factoring Sum of Cubes, Difference of Cubes, Difference of Cubes Formula with examples in detail below.