Question

The area of a rectangle is (16x2 − 9y2) square units. determine the dimensions of the rectangle by factoring the area expression completely. show your work.

Answer 1

The dimensions are:

(4x + 3y) units

(4x - 3y) units

Explanation:

16x² - 9y² follows the pattern a² - b².

The factorization of a² - b² is (a + b)(a - b).

16x² - 9y² = (4x + 3y)(4x - 3y)