Question

Factorise 8m^3 – 60m^2n + 150mn^2 – 125n^3​

Answer 1

Answer:

using (a-b)³ = a³-b³-3a²b+3ab²

now writing 8m³ = (2m)³

125n³ = (5n)³

60m²n = 3(2m)²(5n)

150mn² = 3(2m)(5n)²

comparing with the given formula

it can be written as :-

(2m-5n)³