Factorize: i) x⁴– 64
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Answer:
(X2 - 8) (X2+8)
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x⁴ - 64
= ( x² )² - 8²
Identity - a² - b² = ( a + b ) ( a - b )
a = x²
b = 8
= ( x² + 8 ) ( x² - 8 )
= ( x² + 2³ ) ( x² - 2³ )
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