Which is a factor of 3x²y² + 6x² + 12y² + 24?
6, x² + 2, y² + 6, x² + 4

Solution:

The given expression can be factorised in the manner shown below:

A polynomial can be factored in many ways.

Let us group the first two terms and the last two terms and take out the common factors.

3x²y² + 6x² + 12y² + 24

= 3x²(y² + 2) + 12(y² + 2)

= (y² + 2)(3x² + 12)

= 3(x² + 4)(y² + 2)

Which is a factor of 3x²y² + 6x² + 12y² + 24 ?
6, x² + 2, y² + 6, x² + 4

Summary:

The factors of 3x²y² + 6x² + 12y² + 24 is 3, x² + 4, y² + 2.