4(2p + 3q)^2 - (5p - q) (7p+11q)

using the expression (a + b)² = a² + a b + b² , expand the expression
4(4p² + 12p q + 9q²) - (5p - q) x (7p + 11q)
now multiply the parenthesis
4(4p² + 12p q + 9q²) - (35p² + 55p q - 7 p q - 11q²)
now distribute 4 through the parenthesis
16p² + 48p q + 36q² - (35p² + 55p q - 7 p q - 11q²)
now collect the like terms
16p² + 48p q + 36q² - (35p² + 48p q - 11q²)
next,, when there is a "-" sign in front of the parenthesis change the sign of each term in the parenthesis
16p² + 48p q + 36q² - 35p² - 48p q + 11q²
now eliminate the opposites
16p² + 36q² - 35p² + 11q²
then collect the like terms
-19p² + 36q² + 11q²
finally,, collect the last set of like terms
-19p² + 47q²
since you cannot simplify this expression any further,, the answer to your question is -19p² + 47q²
let me know if you have any further questions
:)