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Question

Which of the following is a factor of  2xy+6y2 ?


  1. 2

  2. y

  3. x+3y

  4. All of these


Solution

The correct option is D All of these

By using method of common factors,
2xy+y2can be factorized as 2×y×(x+3y)
2xy has 2,x,y as irreducible factors.
6y2 has 6,y,y as irreducible factors.
The prime factors of 6 are 2 and 3.
So, the common factors of the two terms are 2 and y.
2×x×y+2×3×y×y
=2×y×(x+3y)

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