Which of the following shows 9x²y + 4x + 3y + 3x² + 2y² written in standard form?

To write the expression 9x²y + 4x + 3y + 3x² + 2y² in standard form, we need to arrange the terms in descending order based on the degree of the terms. The degree of a term is determined by the sum of the exponents of its variables.

Looking at each term:

• 9x²y has a degree of 3 (2 from x and 1 from y)
• 4x has a degree of 1 (1 from x)
• 3y has a degree of 1 (1 from y)
• 3x² has a degree of 2 (2 from x)
• 2y² has a degree of 2 (2 from y)

Now, we can arrange the terms in descending order of their degree:

1. 9x²y (degree 3)
2. 3x² (degree 2)
3. 2y² (degree 2)
4. 4x (degree 1)
5. 3y (degree 1)

Putting it all together, we get:

9x²y + 3x² + 2y² + 4x + 3y