Aaron wants to mulch his garden. His garden is (x2 + 16x + 64) ft2. One bag of mulch covers (x2 − 64) ft2. How many bags of mulch Aaron needs to mulch his garden.

Question

Aaron wants to mulch his garden. His garden is (x² + 16x + 64) ft². One bag of mulch covers (x² − 64) ft². Divide the expressions and simplify to find how many bags of mulch Aaron needs to mulch his garden.

Answer 1

(x^2 +16x + 64)/(x^2-64)

= (x+8)^2/(x+8)(x-8)

= (x+8)/(x-8) bags of mulch where x>8