Question

Mr. Tan's rectangular swimming pool has an area of (81x2 - 144y2) square feet. What are the dimensions of his pool?

Answer 1

Answer:

The pool dimensions are thus  (9x - 12y)(9x + 12y)

Step-by-step explanation:

(81x^2 - 144y^2) is the difference of two squares.  Note that you must indicate exponentiation with " ^ ."

Factoring the difference of two squares:  a^2 - b^2 = (a - b)(a + b)

Thus,  (81x^2 - 144y^2)  =

The pool dimensions are thus  (9x - 12y)(9x + 12y)

Answer 2

Answer:

(9x +12y) & (9x - 12y)

Step-by-step explanation:

$(81 {x}^{2} - 144 {y}^{2} ) \\ \\ =(9x)^{2} - {(12y)}^{2} \\ \\ = (9x + 12y)(9x - 12y)$

Hence, dimensions of the pool are (9x + 12y) & (9x - 12y)