Question
Factorise each of the following: 27y3 + 125z3
Solution
27y3 + 125z3
27y3 + 125z3 = (3y)3 + (5z)3
= (3y + 5z){(3y)2 - (3y)(5z) + (5z)2}
= (3y + 5z)(9y2 - 15yz + 25z2)
