The current area of the city park is represented by the expression 11x2 + 4x + 6. the city will expand the park this summer by a factor of 5x − 3. if one-fourth of the new park is to be wooded, which expression represents the new area of the park that is not wooded?

We have that
the current area of the city park is represented by> [11x² + 4x + 6]

the new area of the city park is represented by >[11x² + 4x + 6]*[5x-3]
 [11x² + 4x + 6]*[5x-3]> [55x³+20x²+30x-33x²-12x-18]
 [55x³+20x²+30x-33x²-12x-18]=[55x³-13x²+30x+18x-18]

the new area of the city park is represented by>[55x³-13x²+30x+18x-18]

we know that
if (1/4) of the new park is to be wooded
then 
(3/4) of the new park  is not wooded

therefore
the area of the new park that 
is not wooded is represented by--> (3/4)*[55x³-13x²+30x+18x-18]
 [41.25x³-9.75x²+22.5x+13.5]

the answer is  [41.25x³-9.75x²+22.5x+13.5]