Question

simplify (a+b) (a-b) ( a²+b²)​

Answer 1

Answer:

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Answer 2

♣ Qᴜᴇꜱᴛɪᴏɴ :

Simplify : (a + b) (a - b) (a² + b²)

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♣ ᴀɴꜱᴡᴇʀ :

(a + b) (a - b) (a² + b²) ​= a⁴ - b⁴

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♣ ᴄᴀʟᴄᴜʟᴀᴛɪᴏɴꜱ :

(a + b) (a - b) (a² + b²)

We know (a + b) (a - b) = a² - b²

(a + b) (a - b) (a² + b²)

= (a² - b²)(a² + b²)

= a²(a² + b²) - b²(a² + b²)

= a⁴ + a²b² - b²a²+ b⁴

= a⁴ + a²b² - a²b² + b⁴

= a⁴ + b⁴