Factoring Cubes Formula
We use the difference of cubes formula to easily factorize the cubes in polynomial. This is explained by the example added below:
For example, suppose we have to factorize, x3 – 27
Solution:
= x3 – 27
= x3 – 33
Using identity a3 – b3 = (a – b) (a2 + ab + b2)
where,
- a = x
- b = 3
= (x – 3) (x2 + (x)(3) + 32)
= (x – 3) (x2 + 3x + 9)
Thus, the factors of x3 – 27 are easily found.
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Difference of Cubes
Difference of Cubes is the formula in mathematics that is used to simplify the difference between two cubes. This formula is used to solve the difference of cubes without actually finding the cubes. This formula factorizes the difference of a cube and changes it into other forms. The difference of cube is also called the a3 b3 formula or the a3 – b3 formula.
In this article, we have covered the difference of cubes, the difference of cube formulas, various examples related to that formula, and others in detail.
Table of Content
- What is Difference of Cubes?
- Difference of Cubes Formula
- Derivation of Difference of Cube Formula
- Factoring Cubes Formula