Question

50 points
simplify step by step
$2(a + b + c)(a {}^{2} + b {}^{2} + c {}^{2} - ab - bc - ca)$
​

Answer 1

HELO GUYS

ANSWER

^2 = 64, find the value of ab+bc+AC?

(a+b+c)^2 = a^2+b^2+c^2+2ab+2bc+2ca (formula)

(a+b+c)^2 = a^2 + b^2+ c^2 + 2(ab+bc+ca)

12^2= 64+2(ab+bc+ca) ( Substituting the given values)

144= 64+2(ab+bc+ ca)

144–64 = 2(ab+bc+ca) (solving)

80= 2(ab+bc+ ca)

80/2 = ab+bc+ca

40 = ab+ bc+ ca

Ans: 40

Answer 2

Hola!

Here is your answer.

Answer: 2(a^3+b^3+c^3-3abc)

Answer: 2(a^3+b^3+c^3-3abc)Or

2a^3+b^3+c^3-6abc.

Detailed answer is in the attachment.

If you've any doubt, feel free to ask in the comment section.

Thank you