Question

simplify( a-b )( a + b) (a ^2 + b^2 )(a^2-b^2)

Answer 1

Hey, I have attached the solution for your question. I have simplified the question in two ways, First one is a bit large and the second one is a small one. Kindly have a look at both the attachments. Feel free to do the question in any one of the ways. Hope it helps you. :)

Answer 2

♣ Qᴜᴇꜱᴛɪᴏɴ :

$\mathrm{Expand}\:\left(a-b\right)\left(a+b\right)\left(a^2+b^2\right)\left(a^2-b^2\right)$

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♣ ᴀɴꜱᴡᴇʀ :

$\left(a-b\right)\left(a+b\right)\left(a^2+b^2\right)\left(a^2-b^2\right)= a^6-a^4b^2-a^2b^4+b^6$

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♣ ᴄᴀʟᴄᴜʟᴀᴛɪᴏɴꜱ :

$\left(a-b\right)\left(a+b\right)\left(a^2+b^2\right)\left(a^2-b^2\right)$

$=\left(a^2-b^2\right)\left(a^2+b^2\right)\left(a^2-b^2\right)\:\:[\because \left(a-b\right)\left(a+b\right)=a^2-b^2]$

$=\left(a^4-b^4\right)\left(a^2-b^2\right)$

$=a^6-a^4b^2-a^2b^4+b^6$