Question

Write the answer as a polynomial in descending powers of x. Please show all work.

Answer 1

I am assuming you are supposed to find the area of the shaded rectangle? If so then we must subtract the area of the smaller rectangle from the larger rectangle, so:

(x+9)(x+3) - ((x+1)(x+5))
= x^2 + 12x + 27 - (x^2 + 6x + 5)
= 6x + 22