Question

which equation is equivalent to $xy(3x + 2y)=4$?

a. $3x^2y + 2y = 4$

b. $3xy + 2xy = 4$

c. $3xy^2 + 2x^2y = 4$

d. $3x^2y + 2xy^2 = 4$

Explanation:

Step1: Distribute $xy$ to terms inside parentheses

$xy \cdot 3x + xy \cdot 2y = 4$

Step2: Simplify each product term

$3x^2y + 2xy^2 = 4$

Answer:

D. $3x^2y + 2xy^2 = 4$