Question

a^2(c-b)+b^2(a-c)+c^2(a-b)

Answer 1

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

=》 a2b - a2c + b2c - b2a + c2(a-b)

=》 a2b - b2a - a2c + b2c + c2(a-b)

=》 ab (a - b) - c (a2 - b2) + c2(a-b)

=》 ab (a - b) - c [(a + b)(a - b)] + c2(a-b)

=》 (a - b) [ab - c(a + b) + c2]

=》 (a - b) [ab - ca - cb + c2]

=》(a - b) [ab - cb - ca+ c2]

=》(a - b) [b(a - c) - c(a - c)]

=》(a - b)(b - c)(a - c)