BM wrote:

X^8 - Y^8 =

A. \((X^4 - Y^4)^2\)

B. \((X^4 + Y^4)(X^2 + Y^2)(X + Y)(X - Y)\)

C. \((X^6 + Y^2)(X^2 - Y^6)\)

D. \((X^4 - Y^4)(X^2 - Y^2)(X - Y)(X + Y)\)

E. \((X^2 - Y^2)^4\)

I solved this is hardly 3 seconds, would tell how?

\(x^8 - y^8\)

It has even power(\(8 = 2^3\)) & -ve sign in between, so fully expandable to the least power of x & y i.e (x+y)

All +ve powers cannot be expanded, so out of the 5 options, just search for (x-y) & terms with high +ve powers

Only option B fits in

_________________

Kindly press "+1 Kudos" to appreciate