What is the value of $ (a-b) (b+a) (a^2+b^2) (2b^4+2a^4)$ ?
Answer & explanation
Correct answer: option 3
$ (a-b) (b+a) (a^2+b^2) (2b^4+2a^4)$
= (a2 - b2) $(a^2+b^2)$ $(2b^4+2a^4)$
= $(a^4 - b^4)$ $(2b^4+2a^4)$
= $ 2(a^8 - b^8) $
What is the value of $ (a-b) (b+a) (a^2+b^2) (2b^4+2a^4)$ ?
Correct answer: option 3
$ (a-b) (b+a) (a^2+b^2) (2b^4+2a^4)$
= (a2 - b2) $(a^2+b^2)$ $(2b^4+2a^4)$
= $(a^4 - b^4)$ $(2b^4+2a^4)$
= $ 2(a^8 - b^8) $