Factorization of p² − 2p − (q + 1)(q − 1) is:

1. (p + q − 1)(p − q + 1)

2. (p − q + 1)(p − q − 1)

3. (p + q − 1)(p − q − 1)

4. (p + q + 1)(p − q)

Assertion(A): One of the factors of (5x + 1)² + (25x² - 1) is 2x.

Reason(R): (a + b)² = (a + b)(a + b) and a² - b² = (a + b)(a - b)

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false

One of the factors of (x² - 4x)(x² - 4x - 1) - 20 is :

1. x - 1

2. x - 2

3. x - 4

4. x + 5

x⁴ + 7x² + 16 can be factorized as:

1. (x² + x + 4)(x² - x + 4)

2. (x² + x - 4)(x² - x + 4)

3. (x² - x - 4)(x² + x + 4)

4. none of these