Question

What is the quotient of the expression 35x^3y^2-5x^2y+25xy/5xy

Answer 1

(35x^3y^2 - 5x^2y + 25xy) / (5xy) = 7x^2y - x + 5

Explanation:

To simplify the expression (35x^3y^2 - 5x^2y + 25xy) / (5xy), we can divide each term in the numerator by the denominator.

Let's break it down step by step:

1. Divide 35x^3y^2 by 5xy:

(35x^3y^2) / (5xy) = (7x^2y)

2. Divide -5x^2y by 5xy:

(-5x^2y) / (5xy) = (-x)

3. Divide 25xy by 5xy:

(25xy) / (5xy) = (5)

So, the simplified expression is:

(35x^3y^2 - 5x^2y + 25xy) / (5xy) = 7x^2y - x + 5

In this simplified form, we have separated the terms and combined like terms. The expression is now in its simplest form.