(3p^2-6pq+7q^2)-(5p^2-10pq+11q^2)

( 3 p ^ 2 - 6 p q + 7 q ^ 2 ) - ( 5 p ^ 2 - 10 p q + 11 q ^ 2 ) =

3 p ^ 2 - 6 p q + 7 q ^ 2 - 5 p ^ 2 + 10 p q - 11 q ^ 2 =

- 2 p ^ 2 + 4 p q - 4 q ^ 2 =

- 2 ( p ^ 2 - 2 p q + 2 q ^ 2 )