Question

The product (a + b)(a - b) (a? - ab +
b2) (a² + ab + b2) is equal to: *
O a6 + b
O a6-bo
O a3 - b3
O a3 + b3​

Answer 1

identities:

$\boxed{\red{\tt (a+b)(a^2-ab+b^2)=(a^3+b^3)}}$

$\boxed{\blue{\tt (a-b)(a^2+ab+b^2)=(a^3-b^3)}}$

given:

$\tt (a+b)(a-b)(a^2+ab+b^2)(a^2-ab+b^2)$

$\green{\rm rearranging\:the\:terms}$

$\tt (a+b)(a^2-ab+b^2)(a-b)(a^2+ab+b^2)$

$\green{\rm using \: given \: identities}$

$\tt (a^3-b^3)(a^3+b^3)$

$\green{\rm expanding, }$

$\tt a^6-\cancel a^3 \cancel b^3+\cancel a^3 \cancel b^3-b^6$

$\boxed{\tt a^6-b^6}$

conclusion:

thus, option (b) becomes correct..

hope this helps!!