Question

The expression $a^3+b^3+c^3-3abc$ can be expressed as a product of two expressions. What is the product?

• A. $(a+b+c)\times (a^2-b^2-c^2-ab-bc-ca)$
• B. $(a-b-c)\times (a^2+b^2+c^2-ab-bc-ca)$
• C. $(a+b+c)\times (a^2+b^2+c^2+ab+bc+ca)$
• D. $(a+b+c)\times (a^2+b^2+c^2-ab-bc-ca)$

Answer 1

The correct option is D $(a+b+c)\times (a^2+b^2+c^2-ab-bc-ca)$

$a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)$