Verified answer

Answer:

1. x² + 8x + 16 = 0

2. 49x² + 42x + 9 = 0

3. 25x² + 60xy + 36y² = 0

4. 2x⁴ + 36x²y³ + 9y^6 = 0

5. 16x² + 24xy² + 9y⁴ = 0

6. x² - y² = 0

7. 9x² - y² = 0

8. 49x² - 4y⁴ = 0

9. x² - 16 = 0

10. 2x² + 2xy - 14x - 7y = 0

Step-by-step explanation:

1. (x + 4)²

(x + 4)(x + 4) = 0

x² + 4x + 4x + 16 = 0

x² + 8x + 16 = 0

2. (7x + 3)²

(7x + 3)(7x + 3) = 0

49x² + 21x + 21x + 9 = 0

49x² + 42x + 9 = 0

3. (5x + 6y)²

(5x + 6y)(5x + 6y) = 0

25x² + 30xy + 30xy + 36y² = 0

25x² + 60xy + 36y² = 0

4. (2x² + 9y³)²

(2x² + 9y³)(2x² + 9y³) = 0

2x⁴ + 18x²y³ + 18x²y³ + 9y^6 = 0

2x⁴ + 36x²y³ + 9y^6 = 0

5. (-4x - 3y²)²

(-4x - 3y²)(-4x - 3y²) = 0

16x² + 12xy² + 12xy² + 9y⁴ = 0

16x² + 24xy² + 9y⁴ = 0

6. (x + y)(x - y)

(x + y)(x - y) = 0

x² - xy + xy - y² = 0

x² - y² = 0

7. (3x + y)(3x - y)

(3x + y)(3x - y) = 0

9x² - 3xy + 3xy - y² = 0

9x² - y² = 0

8. (7x + 2y²)(7x - 2y²)

(7x + 2y²)(7x - 2y²) = 0

49x² - 14xy² + 14xy² - 4y⁴ = 0

49x² - 4y⁴ = 0

9. (x + 4)(x - 4)

(x + 4)(x - 4) = 0

x² - 4x + 4x - 16 = 0

x² - 16 = 0

10. (2x - 7)(2x + y)

(2x - 7)(2x + y) = 0

2x² + 2xy - 14x - 7y = 0

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