Keep these rules in mind.
Firstly, solve the exponents:
[tex]16x^2+16x+4-(x^2-2x+1)[/tex]
Next, foil -(x^2 - 2x + 1) (Think of the outer minus sign as -1):
[tex]16x^2+16x+4-x^2+2x-1[/tex]
Lastly, combine like terms and your answer will be:
[tex]15x^2+18x+3[/tex]