a4 + 4 এর উৎপাদক কোনটি?

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)

Solution

Correct Answer: Option A

 a4 + 4
= a4 + 4a2 + 4 − 4a2
= (a2+2)2 − 4a2
= (a2+2)2 − 22·a2
= (a2+2)2 − (2a)2
= ((a2+2) − 2a) ((a2+2) + 2a)
= (a2+2−2a) (a2+2+2a)
= (a2−2a+2) (a2+2a+2)

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