Question

The irreducible factors of 2xy+6$y^2$ are ___, ____, ____

• A. 2, y, x+3y
• B. 2, xy, x+y
• C. 6, x, y
• D. 3, xy, x + y

Answer 1

The correct option is A

2, y, x+3y

2xy + 6$y^2$can be factorized as $2\times y(x+3y)$ by using method of common factors

2xy has 2,x,y as irreducible factors.

6$y^2$ has 6,y,y as irreducible factors. 6 has 2,3 as prime factors. So the common factors of the two terms are 2,y

$2\times x\times y+2\times 3\times y\times y$ = $2\times y(x+3y)$