Question

The reducible factors of $2xy+6y^2$ are:

• A. 2
• B. y
• C. x + 3y
• D. All of these

Answer 1

The correct option is D All of these

The given expression is $2xy+6y^2$.

$2xy=2\times x\times y$

$6y^2=2\times 3\times y\times y$

The common factors of the terms $2xy$ and $6y^2$ are $2,y,2y$.

$2xy+6y^2=2\times y\times (x+3y)$

So, the irreducible factors of $2xy+6y^2$are $2,y,(x+3y)$, whereas $2y$ is reducible.