A carpenter is assigned a job of installing a spa into a pre-existing deck. The dimensions of the deck are (6x + 10) wide by (3x + 4) long. The dimensions of the spa are (5x + 2) wide by (2x + 1) long.
Write the polynomial that represents the remaining area of the deck after the carpenter cut the hole out for the spa.
(a) 8x2 + 63x + 42
(b) 28x2 + 63x + 42
(c) 28x2 + 45x + 38
(d) 8x2 + 45x + 38