Using suitable identity, find the product: (x − y)(x + y)(x 2 + y 2 )(x 4 + y 4 )
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Answer:
1. (a-b)(a+b) = ( a^2-b^2)
by using identity 1
(x-y)(x+y) = (x^2-y^2)
now
given equation become
(x^2-y^2) (x^2+y^2) (x^4+y^4)
again use identity 1
here a = x^2 and b = y^2
(x^4- y^4)(x^4+y^4)
( x^16-y^16))
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