Question

A family has a rectangular backyard that measures 2x + 3x by 3x - 5. they are building a square patio with side lengths that measure x + 2. write an expression for the area of grass that will be left in the backyard after the patio is built

Answer 1

that would be the area of the yard less the area of the patio. So,

(2x+3x)(3x-5)-(x+2)^2
or, assuming a typo,
(2x+3)(3x-5)-(x+2)^2
= (6x^2-x-15)-(x^2+4x+4)
= 5x^2-5x-19