Answer:
-x^2 +10x + 7
[tex]-x^2 +10x + 7[/tex]
Step-by-step explanation:
its the gray shaded area [(x+1)*(x+7)] minus the white area [(x-1)*(2x)]
AKA: [(x+1)*(x+7)] - [(x-1)*(2x)]
so first you foil to get both areas
gray region: (x+1)*(x+7) = x^2 + 8x + 7
white region: (x-1)*(2x) = 2x^2 - 2x
and then you subtract the white from the gray
[tex](x^2 + 8x + 7) - (2x^2 - 2x)[/tex]
-x^2 +10x + 7
