Question

Factorise 27y³ + 125z³

Answer 1

Step-by-step explanation:

(i) 27y³ + 125z³

We know that,

x³ + y³ = (x+y) ( x² - xy + y² )

So, here

x = 3y , y = 5z

= 27y³ + 125z³ = (3y + 5z) { (3y)² - 3y*5x + (5z)² }

= 27y³ + 125z³ = (3y + 5z) { 9y² - 15xy + 25z² }