2y4 - 14y2 + 2 এর উৎপাদকে বিশ্লেষণ কোনটি?

A (2y2 + 6y + 2) (y2 - 3y + 1)

B (2y2 - 7y + 2) (2y2 + 7y + 1)

C 2(y2 + 3y + 1) (y2 - 3y + 1)

D 2(y2 + 3y + 1) (y2 - 3y - 1)

Solution

Correct Answer: Option C

2y4 - 14y2 + 2
= 2{(y2)2 + 2 . y2 . 1 + (1)2} - 9y2}
= 2{(y2 + 1)2 - (3y)2}
= 2(y2 + 3y + 1) (y2 - 3y + 1)

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