SOLUTION: A carpenter is putting a skylight on a roof. If the roof measures 10x +89 by 7x+7 and the skylight measures x+5 by 3x+3, what is the area of the remaining roof after the skylight i

Algebra ->  Functions -> SOLUTION: A carpenter is putting a skylight on a roof. If the roof measures 10x +89 by 7x+7 and the skylight measures x+5 by 3x+3, what is the area of the remaining roof after the skylight i      Log On


   

Question 946612: A carpenter is putting a skylight on a roof. If the roof measures 10x +89 by 7x+7 and the skylight measures x+5 by 3x+3, what is the area of the remaining roof after the skylight is built?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Area of remaining roof =
+%28+10x+%2B+89+%29%2A%28+7x+%2B+7+%29+-+%28+x+%2B+5+%29%2A%28+3x+%2B+3+%29+
+7%2A%28+10x+%2B+89+%29%2A%28+x+%2B+1+%29+-+3%2A%28+x+%2B+5+%29%2A%28+x+%2B+1+%29+
Factor out +x+%2B+1+
+%28+x+%2B+1+%29%2A%28+7%2A%28+10x+%2B+89+%29+-+3%2A%28+x+%2B+5+%29+%29+
+%28+x+%2B+1+%29%2A%28+70x+%2B+623++-+3x+-+15+%29+
+%28+x+%2B+1+%29%2A%28+67x+%2B+608+%29+
+67x%5E2+%2B+67x+%2B+608x+%2B+608+
+67x%5E2+%2B+675x+%2B+608+