
Answers
Answer:
80xy
Step-by-step explanation:
- Expand the square
(4x + 5y)² - 1(4x – 5y)²
(4x + 5y) (4x + 5y) - 1(4x – 5y)²
2. Distribute
(4x + 5y) (4x + 5y) - 1(4x – 5y)²
4x(4x + 5y) + 5y(4x + 5y) - 1(4x – 5y)²
3. Distribute
4x(4x + 5y) + 5y(4x + 5y) - 1(4x – 5y)²
16x² + 20xy + 5y(4x + 5y) - 1(4x – 5y)²
4. Distribute
16x² + 20xy + 5y(4x + 5y) - 1(4x – 5y)²
16x² + 20xy +20xy + 25y²- 1(4x – 5y)²
5. Combine like terms
16x² + 20xy + 20xy + 25y²- 1(4x – 5y)²
16x² + 40xy + 25y²- 1(4x – 5y)²
6. Expand the square
16x² + 40xy + 25y²- 1(4x – 5y)²
16x² + 40xy + 25y²- 1 (4x – 5y) (4x – 5y)
7. Distribute
16x² + 40xy + 25y²- 1 (4x – 5y) (4x – 5y)
16x² + 40xy + 25y²- 1{4x (4x – 5y) 5y(4x – 5y)}
8. Distribute
16x² + 40xy + 25y²- 1{4x (4x – 5y) 5y(4x – 5y)}
16x² + 40xy + 25y²- 1{16x²-20xy-5y(4x-5y)}
9. Distribute
16x² + 40xy + 25y²- 1{16x²-20xy-5y(4x-5y)}
16x² + 40xy + 25y²- 1{16x²-20xy-20xy+25y²)
10. Combine like terms
16x² + 40xy + 25y²- 1{16x²-20xy-20xy+25y²)
16x² + 40xy + 25y²- 1(16x²-40xy-25y²)
11. Distribute
16x² + 40xy + 25y²- (16x²-40xy-25y²)
16x² + 40xy + 25y² - 16x² + 40xy + 25y²
12. Combine like terms
16x² + 40xy + 25y² - 16x² + 40xy + 25y²
40xy + 25y² + 40xy - 25y²
13. Combine like terms
40xy + 25y² + 40xy - 25y²
80xy + 25y² - 25y²
14. Combine like terms
80xy + 25y² - 25y²
SOLUTION = 80xy