Question

A swimming pool has a depth of d inches, a length of 8d + 5 inches and a volume of 32d3 - 4d2 - 15d cubic inches. Find the width of the pool.

Answer 1

Answer: 4d-3

Explanation:

A width of a pool is:

`(32d^(3)-4d^(2)-15d )/(d \cdot (8d+5))=(d\left(32d^2-4d-15\right))/(d\left(8d+5\right))=(32d^2-4d-15)/(8d+5)=(\left(8d+5\right)\left(4d-3\right))/(8d+5)=\\\\=4d-3`