A) 0
B) \[x-3\]
C) \[{{x}^{2}}-{{y}^{2}}\]
D) \[2{{y}^{4}}\]
Correct Answer: A
Solution :
\[{{x}^{4}}-{{y}^{4}}=({{x}^{2}}-{{y}^{2}})({{x}^{2}}+{{y}^{2}})\] \[=(x-y)(x+y)({{x}^{2}}+{{y}^{2}})\]when \[({{x}^{4}}-{{y}^{4}})\] is divided by\[(x-y)\], remainder is zero.
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