Mathematics
Factorize:
x4 - 81
Factorisation
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Answer
Given,
⇒ x4 - 81
⇒ (x2)2 - (9)2
⇒ (x2 + 9)(x2 - 9)
⇒ (x2 + 9)[x2 - (3)2]
⇒ (x2 + 9)(x + 3)(x - 3).
Hence, x4 - 81 = (x2 + 9)(x + 3)(x - 3).
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Factorize:
x4 - 81
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Given,
⇒ x4 - 81
⇒ (x2)2 - (9)2
⇒ (x2 + 9)(x2 - 9)
⇒ (x2 + 9)[x2 - (3)2]
⇒ (x2 + 9)(x + 3)(x - 3).
Hence, x4 - 81 = (x2 + 9)(x + 3)(x - 3).
Answered By
1 Like