Question

8. Factorise: a(b– c)3 + b3(c – a)3 + c3(a - b)^3
​

Answer 1

a(b-c)3+3b(c-a)3+3c(a-b)^3

3ab-3ac+9bc-9ab+3c(a^3-b^3-3ab(a-b))

-6ab-3ac+9bc+3a^3c-3b^3c-9abc(a-b)

-6ab-3ac+9bc+3a^3c-3b^3c-9a^2bc-9ab^2c