Question

# Which of the following is a factor of  2xy+6y2 ?2 y x+3y All of these

Solution

## The correct option is D All of theseBy 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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