Answer:
(5x+3y) and (5x-3y)
Step-by-step explanation:
From the concept on difference between two squares;
a² - b² = (a+b)(a-b)
Therefore;
25x² - 9y² = (5x+3y) (5x-3y)
Therefore the dimensions of the square are (5x+3y) and (5x-3y)
Answer:
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)
