Question

$\text{The product}(a+b)(a-b)(a^2-ab+b^2)(a^2+ab+b^2)$ is equal to

• A. $a^6+b^6$
• B. $a^6-b^6$
• C. $a^3-b^3$
• D. $a^3+b^3$

Answer 1

The correct option is B

$a^6-b^6$

$(a+b)(a-b)(a^2-ab+b^2)(a^2+ab+b^2)=(a+b)(a^2-ab+b^2)(a-b)(a^2+ab+b^2)=(a^3+b^3)(a^3-b^3)=(a^3{)}^2-(b^3{)}^2=a^6-b^6$