Question

A carpenter is assigned a job of installing a spa into a pre-existing deck. The dimensions of the deck are (6x-1) wide by (4x+3) long. The dimensions of the spa are (4x-5) wide by (x+6) long. Write the polynomial that represents the remaining area of the deck after the carpenter cut the hole out of the spa

Answer 1

Area = (6x - 1)*(4x + 3) - (4x - 5)*(x + 6)
Area = (24x^2 -4x + 18x - 3) - (4x^2 + 24x - 5x - 30)
Area = (24x^2 + 14x - 3) - (4x^2 + 19x - 30)
Area = 24x^2 - 4x^2 + 14x - 19x - 3 + 30
Area = 20x^2 - 5x + 27 <<<<===== answer.
Don't go any further