Question

Factorise: x3 - y3 + xy (x - y). ( step by step explanation)​

Answer 1

Answer:

(x+y) [x²-xy+y² - 1]

Step-by-step explanation:

x³+y³-x-y

= (x+y)(x²-xy+y²) - (x+y)

= (x+y) [x²-xy+y² - 1]

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Answer 2

Answer:

x^3-y^3+xy(x-y)

=(x-y)(x^2+xy+y^2)+xy(x-y)

=(x-y)(x^2+xy+y^2+xy)

=(x-y)(x^2+2xy+y^2)

=(x-y)(x+y)^2