simplify (a+b) (a-b) ( a²+b²)
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♣ 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
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