(X + 1 by X) (x-1/x)(x²+1/x²)(x⁴+1/x⁴)
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2
Answer:
[x+1/x][x-1/x][x²+1/x²][x⁴+1/x⁴]
= [x²- 1/x²][x²+1/x²][x⁴+1/x⁴]
=[(x²)²- (1/x²)²][x⁴+1/x⁴]
=[x⁴- 1/x⁴][x+1/x⁴]
=(x⁴)² - (1/x⁴)²
=x⁸-1/x⁸
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[x+1/x][x-1/x][x²+1/x²][x⁴+1/x⁴]
= [x²- 1/x²][x²+1/x²][x⁴+1/x⁴]
=[(x²)²- (1/x²)²][x⁴+1/x⁴]
=[x⁴- 1/x⁴][x+1/x⁴]
=(x⁴)² - (1/x⁴)²
=x⁸-1/x⁸
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