197k views
0 votes
Factor this problem ?
125 +27y^3

1 Answer

4 votes

Answer:

(5 + 3y)(25 - 15y + 9y²)

Explanation:

This is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²), thus

125 + 27y³

= 5³ + (3y)³ with a = 5 and b = 3y

= (5 + 3y)(5² - 5(3y) + (3y)² )

= (5 + 3y)(25 - 15y + 9y²)

User Omprakash Arumugam
by
5.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.