A group of art students are painting a mural on a wall. The rectangular wall has dimensions of (6x + 7) by (8x + 5) and they are planning the mural to be (x + 4) by (2x + 5). What is the area of the remaining wall after the mural has been painted? (1 point) Responses 46x2 + 73x + 15 46 x 2 + 73 x + 15 48x2 + 86x + 35 48 x 2 + 86 x + 35 2x2 + 13x + 20 2 x 2 + 13 x + 20 50x2 + 99x + 55
To find the area of the remaining wall after the mural has been painted, we first find the area of the entire wall and then subtract the area of the mural.
The area of the entire wall is (6x + 7)(8x + 5) = 48x^2 + 86x + 35
The area of the mural is (x + 4)(2x + 5) = 2x^2 + 13x + 20
Subtracting the area of the mural from the area of the entire wall gives us:
48x^2 + 86x + 35 - (2x^2 + 13x + 20) = 46x^2 + 73x + 15
Therefore, the area of the remaining wall after the mural has been painted is 46x^2 + 73x + 15.