Question

what is the formula for a^3+b^3+c^3

Answer 1

3+b3+c3=(a+b+c)3−[3a2(b+c)+3b2(c+a)+3c2(a+b)+6abc]a3+b3+c3=(a+b+c)3−[3a2(b+c)+3b2(c+a)+3c2(a+b)+6abc]⟹a3+b3+c3=(a+b+c)3–3[a2(b+c)+b2(c+a)+c2(a+b)+2abc]⟹a3+b3+c3=(a+b+c)3–3[a2(b+c)+b2(c+a)+c2(a+b)+2abc]

Answer 2

a3+b3+c3=(a+b+c)3−[3a2(b+c)+3b2(c+a)+3c2(a+b)+6abc]a3+b3+c3=(a+b+c)3−[3a2(b+c)+3b2(c+a)+3c2(a+b)+6abc]

⟹a3+b3+c3=(a+b+c)3–3[a2(b+c)+b2(c+a)+c2(a+b)+2abc]