Question

Factorise: x^3 - 27y^3 - 9x^2y + 27xy^2

Answer 1

x³-27y³-9x²y+27xy

(a-b)³ = a³-b³-3a²b+3ab²

x³=a³    (3b)³=b³     3a²b = 9x²y        3ab² = 27xy

x³-27y³-9x²y+27xy² = (x-3b)³=(x-3b)(x-3b)(x-3b)

Answer 2

Answer:

Step-by-step explanation:

x³-27y³-9x²y+27xy

(a-b)³ = a³-b³-3a²b+3ab²

x³=a³    (3b)³=b³     3a²b = 9x²y        3ab² = 27xy

x³-27y³-9x²y+27xy² = (x-3b)³=(x-3b)(x-3b)(x-3b)