1
Question
Factorize
i) x4 - y4 + x2 - y2
Factorize
i) x4 - y4 + x2 - y2
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Solution
(x^2)^2 - (y^2)^2 + (x+y)(x-y)
(x^2 + y^2 )(x^2 - y^2) + (x+y)(x-y)
(x^2+y^2)(x+y)(x-y) + (x+y)(x-y)
(x+y)(x-y) ( x^2+y^2 + 1)
(x^2 + y^2 )(x^2 - y^2) + (x+y)(x-y)
(x^2+y^2)(x+y)(x-y) + (x+y)(x-y)
(x+y)(x-y) ( x^2+y^2 + 1)
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