how a^2n -b^2n is divisible by a-b and a+b
simran893:
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we can write that
a^2n -b^2n
=a^n×2 - b^n×2
= (a^n -b^n)(a^n+b^n) [by the formula of a^2-b^2]
now we can say that
(a^n -b^n) is divisible by a-b
and
(a^n+b^n) is also divisible by
a+b
so at last
we obtain that
a^2n -b^2n is divisible by a-b and a+b
a^2n -b^2n
=a^n×2 - b^n×2
= (a^n -b^n)(a^n+b^n) [by the formula of a^2-b^2]
now we can say that
(a^n -b^n) is divisible by a-b
and
(a^n+b^n) is also divisible by
a+b
so at last
we obtain that
a^2n -b^2n is divisible by a-b and a+b
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