How much p² - q² + 2pq is less than - 2p² - 2q² + 7pq + 10?

Answer: 3p² + q² - 5pq - 10 < 0

Step-by-step explanation:

p² - q² + 2pq < - 2p² - 2q² + 7pq + 10

since you didn't specify what to solve for, move everything from the right side to the left side of the inequality symbol using inverse operations.

(p² + 2p²) + ( - q² + 2q²) + (2pq - 7pq) + ( - 10) < 0

3p² + q² + - 5pq + - 10 < 0

3p² + q² - 5pq - 10 < 0