Which of the following shows 9x²y - 4x + 3y³x - 2y² written in standard form.
9x²y - 4x + 3y³x - 2y²
3y³x - 2y² + 9x²y - 4x
9x²y - 4x - 2y² + 3y³x
3y³x + 9x²y - 2y² - 4x

Solution:

Given, the expression is 9x²y - 4x + 3y³x - 2y²

We have to write this expression in a standard form.

We can arrange each term as the reducing degree of each term.

Degree of 9x²y = degree of x + degree of y

= 2 + 1

= 3

Degree of 4x = 1

Degree of 3y³x = degree of x + degree of y

= 1 + 3

= 4

Degree of 2y² = 2

Now arrange the expression in descending order of degree,

3y³x + 9x²y - 2y² - 4x

Therefore, the expression in standard form is 3y³x + 9x²y - 2y² - 4x.

---

Which of the following shows 9x²y - 4x + 3y³x - 2y² written in standard form.

Summary:

The expression 9x²y - 4x + 3y³x - 2y² written in standard form is 3y³x + 9x²y - 2y² - 4x.