Question

Factories: X3- ay3- 3xy (x-y)​

Answer 1

Step-by-step explanation:

the aswer is (x-1) (x+5)

Answer 2

Answer:

To factorise:

x³ - y³ - 3xy(x - y)

Answer:

(x - y) (x - y) (x - y) or (x - y)³

[by using formula = (a - b)³ = a³ - b³ - 3ab(a - b)]

Alternative way:

x³ - y³ - 3xy(x - y)

=⟩ x³ - y³ - 3x²y + 3xy²

=⟩ x³ - y³ - 2x²y - x²y + 2xy² + xy²

=⟩ x³ - 2x²y - xy² - x²y + 2xy² + y³

=⟩ x( x² - 2xy - y²) - y(x² - 2xy - y²)

=⟩ ( x² - 2xy - y²) (x - y)

=⟩ (x² - xy - xy - y²) (x - y)

=⟩ [x(x - y) -y(x - y)] (x - y)

=⟩ (x - y) (x - y) (x - y) or (x - y)³ [Ans]

Hope this helped you, cheers :)