factorise completely = x8-y8
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(x⁴+y⁴) (x²+y²) (x+y) (x-y)
Step-by-step explanation:
x⁸-y⁸ = ( x⁴)² - ( y⁴)²
= (x⁴+y⁴) (x⁴-y⁴) [ Using identity a²-b² = (a+b) (a-b)]
= (x⁴+y⁴) [(x²)² - (y²)²]
= (x⁴+y⁴) (x²+y²) (x²-y²)
ANS= (x⁴+y⁴) (x²+y²) (x+y) (x-y)
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