Answer
$33x^{2}$ - 80x + 7
Work Step by Step
Given the areas, we subtract both areas by one another.
($49x^{2}$ - 56x + 16)-($16x^{2}$ + 24x + 9)
We distribute the negative sign to the second bracket and get
$49x^{2}$ - 56x + 16 - $16x^{2}$ - 24x - 9
We add like terms together to simplify the polynomial.
$49x^{2}$ - $16x^{2}$ - 24x - 56x + 16 - 9
$33x^{2}$ - 80x + 7
