Question

(p^2-4)(9-q^2)+24pq​

Answer 1

9p^2-p^2q^2-36+4q^2=24pq

Explanation:

multiply the parentheses

multiply the term in the first ( ) by each term in the second ( ) (FOIL)

9p^2-p^2q^2-4x9-4x(-q^2)=24pq

Multiply the numbers (multiplying two negatives = a positive )

9p^2-p^2q^2-36=4q^2+24pq

Hope that helps

Answer 2

-p²q² + 9p² + 4q² + 24pq - 36

General Formulas and Concepts:

Algebra I

• Expanding by FOIL-ing (First Outside Inside Last)
• Combining Like Terms

Explanation:

Step 1: Define expression

(p² - 4)(9 - q²) + 24pq

Step 2: Simplify

1. Expand by FOIL-ing: 9p² - p²q² - 36 + 4q² + 24pq
2. Combine like terms: -p²q² + 9p² + 4q² + 24pq - 36