Question

The kids' pool in Ben's neighborhood is rectangular-shaped and covers an area that

can be represented by 169x2 - 64 units. Write expressions to represent the dimensions of the

pool.

Answer 1

Answer: 13x-8 units by 13x+8 units

Step-by-step explanation:

Factor using the difference of squares rule

`a^2 - b^2 = (a-b)(a+b)\\\\(13x)^2 - (8)^2 = (13x-8)(13x+8)\\\\169x^2 - 64 = (13x-8)(13x+8)`

The rectangular pool has dimensions of 13x-8 units by 13x+8 units.