if the area of a rectangle is expressed as x^4 - 9y^2, then the product of the length and the width of the rectangle could be expressed as ...

Question

Karli Downs

Mathematics

8 May, 21:54

if the area of a rectangle is expressed as x^4 - 9y^2, then the product of the length and the width of the rectangle could be expressed as ...

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Jaylin Blackwell · Answer 1

Answer:the product of the length and the width of the rectangle could be expressed as

(x^2 - 3y) (x^2 + 3y)

Step-by-step 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