Question

Factorise :x3-9y3-3xy(x-y)

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Factorise: x3-9y3-3xy(x-y)

=X³ -9Y³ - 3XY ( X-Y)

= X³ -9Y³ -3X²Y + 3XY²

= X³ -3X²Y + 3XY² - Y³ -8Y³

=( X-Y)³ - (2Y)³

=( X-Y-2Y) { ( X-Y)² + (X-Y)×2Y+ ( 2Y)²}

=( X-3Y) ( X² -2XY + Y² +2XY - 2Y² + 4Y²)

=  ( X-3Y) ( X² + 3Y²)

Ans:-( X-3Y) ( X² + 3Y²)