1. Find the product of (x - \(\frac{1}{x}\)) (x + \(\frac{1}{x}\)) (x² + \(\frac{1}{x^2}\))

2. If \(\frac{x}{y}\)+ \(\frac{y}{x}\) = -1 (x, y ≠ 0), then find the value of x³ - y³

3. Find the value of 525² - 475².

4. One of the factors of (1 + 3y)² + (9y² - 1) is

5. One of the factors of (x³ - 1) - (x - 1) is

6. Find the degree of polynomial √2 .

7. Find the value of k if x² + kx + 6 = (x + 2) (x + 3) for all k.

8. If x - 2 is a factor of 5x² - kx - 18, then find the value of k.

9. Find the coefficient of x² in (3x² - 5) (4 + 4x²).

10. Find the value of p for which x + p is a factor of x² + px + 3 - p.