Question

a²(b-c) + b²(c-a) + c²(a-b) . Factorise

Answer 1

a²(b - c) + b²(c - a) + c²(a - b)

= a²b - a²c + b²c - ab² + ac² - bc²

= a²b - ab² + ac² - bc² - a²c + b²c

= ab(a - b) + c²(a - b) - c(a² - b²)

= ab(a - b) + c²(a - b) - c(a - b)(a + b)

= (a - b)(ab + c² - ac - bc)

= (a - b)(ab - bc - ac + c²)

= (a - b)[b(a - c) - c(a - c)]

= (a - b)(b - c)(a - c).

Answer 2

Answer:

I need {a²(b+c)+b²(c+a)+c²(a+b) question's answer