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

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.