Simplify i x-1-x x-1-x x2-1-x2 x4-1-x4 ii 2x-y2x-y4x2-y2

(i) nbsp; ( x 1/x ) ( x+1/x ) ( x^2+1/x^2 ) ( x^4+1/x^4 ) = ( x^2 1/x^2 ) ( x^2+1/x^2 ) ( x^4+1/x^4 ) = [ (x^2)^2 ( 1/x^2 )^2 ] ( x^4+1/x^4 ) ...

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Summation by Sigma Method

Simplify i ...

Question

Simplify (i) $(x - \frac{1}{x}) (x + \frac{1}{x}) (x^{2} + \frac{1}{x^{2}}) (x^{4} + \frac{1}{x^{4}})$
(ii) $(2 x + y) (2 x - y) (4 x^{2} + y^{2})$

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(x - \frac{1}{x}) (x + \frac{1}{x}) (x^{2} + \frac{1}{x^{2}}) (x^{4} + \frac{1}{x^{4}})

(2 x - y) (2 x + y) (4 x^{2} + y^{2})

(x + 2) (x - 2) (x^{2} - 4)

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(a x + b) (a x - b) (a^{2} x^{2} + b^{2})

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(x^{2} - y^{2}) (x - y) = 16 x y, (x^{4} - y^{4}) (x^{2} - y^{2}) = 640 x^{2} y^{2}

(2 x - y) (2 x + y) (4 x^{2} + y^{2})

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