a4+4এর উৎপাদক কি কি?

A (a2+2a+2)(a2-2a-2)
B (a2+2a+2)(a2-2a+2)
C (a2-2a+2)(a2+2a-2)
D (a2-2a-2)(a2-2a+2)

Correct Answer: (a2+2a+2)(a2-2a+2)

a4 + 4 = (a2)2 + 22 = (a2 + 2)2 - 2.(a2).2 [a^2 + b^2 = (a + b)2 - 2ab] = (a2 + 2)2 - (2a)2 = (a2 + 2a + 2) (a2 - 2a + 2) [a2 - b2 = (a + b)(a - b)]
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