Question

10. Factorise each of the following:
(i) 27y³ + 125z³​

Answer 1

Answer:

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

64m³-343n³ =  (4m - 7n) ( 16m² + 49n² + 28mn)

Step-by-step explanation:

27y³+125z³

= (3y)³ + (5z)³

using a³ + b³ = (a + b) (a² + b² - ab)

here a = 3y  & b = 5z

= (3y + 5z) ( (3y)² + (5z)² - (3y)(5z))

= (3y + 5z) ( 9y² + 25z² - 15yz)