21x³y⁴+35x⁴y³_49x²y⁵ by-7x²y³
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Consider x4−y4
It can be expanded as (x2−y2)(x2+y2)
(∵ a2−b2=(a−b)(a+b))
It can be further expanded as (x−y)(x+y)(x2+y2)
Now,we can observe that x−y is a factor of x4−y4
Hence, on dividing x4−y4 with x−y we get a remainder of Zero.
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