# Which is a factor of 3x^{2}y^{2} + 6x^{2} + 12y^{2} + 24?

6, x^{2} + 2, y^{2} + 6, x^{2} + 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.

3x^{2}y^{2} + 6x^{2} + 12y^{2} + 24

= 3x^{2}(y^{2} + 2) + 12(y^{2} + 2)

= (y^{2} + 2)(3x^{2} + 12)

= 3(x^{2} + 4)(y^{2} + 2)

## Which is a factor of 3x^{2}y^{2} + 6x^{2} + 12y^{2} + 24 ?

6, x^{2} + 2, y^{2} + 6, x^{2} + 4

**Summary:**

The factors of 3x^{2}y^{2} + 6x^{2} + 12y^{2} + 24 is 3, x^{2} + 4, y^{2} + 2.

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