Answer:the product of the length and the width of the rectangle could be expressed as
(x^2 - 3y)(x^2 + 3y)
Explanation:
If the area of a rectangle is expressed as x^4 - 9y^2, we would determine the dimensions by simplifying the given expression. The simplified expression becomes
(x^2 - 3y)(x^2 + 3y)
Let us check by multiplying each term in one parenthesis by each term in the other parenthesis to get the given expression. It becomes
(x^2 - 3y)(x^2 + 3y) = x^4 + 3x^2y - 3x^2y - 9y^2 = x^4 - 9y^2