Question

Using factor theorem, show that a+b, b+c, c+a are the factors of (a+b+c) ka whole cube - (acube +b cube + c cube)

Answer 1

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

For proof see image

Hence (a+b), (b+c) & (c+a) are factors