The area of a rectangle is (25x2 − 9y2) square units. determine the dimensions of the rectangle by factoring the area expression completely. show your work.

the dimensions of the rectangle are (5x + 3y) and (5x - 3y)

Step-by-step explanation:

The area of a rectangle is 25x^2 - 9y^2 square units.

To find the dimensions of a rectangle we need to factorize the expression completely.

We know that (a + b)(a - b) = a^2 - b^2

In this case: a^2 = 25x^2 and b^2 = 9y^2

So a = sqrt(25x^2) = 5x

And b = sqrt (9y^2) = 3y

Then the solution is:

(a + b)(a - b) = (5x + 3y)(5x - 3y)

Then the dimensions of the rectangle are (5x + 3y) and (5x - 3y)

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

idk

step-by-step explanation: