a⁴ + 4a² - 32 is equal to:

1. (a² + 8) (a + 2) (a + 2)

2. (a² - 8) (a - 2) (a + 2)

3. (a² + 8) (a² + 4)

4. (a² + 8) (a + 2) (a - 2)

36 - 60y + 25y² is equal to :

1. (3 + 5y) (3 + 5y)

2. (3 - 5y) (6 - 5y)

3. (3 + 4y) (3 - 4y)

4. none of these

a(x - y)² - by + bx is equal to :

1. (x - y) (ax + by + b)

2. (x - y) (ax + by - b)

3. (x - y) (x + y + a - b)

4. (x - y) (ax - ay + b)

Statement 1: The product of two binomials is a trinomial, conversely if we factorise a trinomial we always obtain two binomial factors

Statement 2: The square of the difference of two terms = the sum of the same two terms x their difference.

Which of the following options is correct?

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and statement 2 is false.

4. Statement 1 is false, and statement 2 is true.