Question

A community swimming pool has a deep end and a shallow end. The volume of water in the deep end can be represented by (2x2+12x+10) ft3 and the volume of the water in the shallow end can be represented by (4x2−100)ft3.

Write the equivalent expression ("simplified") that represents the total volume of the water in the pool in ft3.

Answer 1

The total volume of water in the pool = ( 6x^3 + 12x^2 - 90x ) ft^3

Explanation:

The volume of water in the deep end = (2x^3 + 12x2 + 10x) ft^3

The volume of water in the shallow = (4x^3 -100x) ft^3

The total volume of water in the pool = (2x^3 + 12x2 + 10x) + 4x^3 -100x)

= ( 6x^3 + 12x^2 - 90x ) ft^3