Question

Factor. $$27 x^{3}-125 y^{3}$$

Name: Problem 64, Chapter 5: Beginning Algebra: A Guided Approach
Uploaded: 2021-07-14T02:45:59-08:00
Duration: 1 min 12 s
Channel: Sherrie Fenner
Description: Factor. 27 x^3-125 y^3

   Factor.
$$27 x^{3}-125 y^{3}$$

Beginning Algebra: A Guided Approach

Rosemary Karr,… 10th Edition

Chapter 5, Problem 64

Instant Answer

Solved by Expert Sherrie Fenner

07/14/2021

Step 1

We have $27x^3 = (3x)^3$ and $125y^3 = (5y)^3$. Show more…

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Factor. $$27 x^{3}-125 y^{3}$$

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Key Concepts

Polynomial Factorization

Polynomial factorization is the process of expressing a polynomial as a product of its simpler components or factors. It is a fundamental technique in algebra that aids in solving polynomial equations, simplifying expressions, and understanding the underlying structure of algebraic functions.

Difference of Cubes

The difference of cubes is a specific algebraic identity that allows one to factor an expression of the form a³ - b³ into the product (a - b)(a² + ab + b²). This formula simplifies the factoring process, enabling easier manipulation and solution of polynomial equations.

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