Consider the following two statements :

Statement 1: If a + b = 0, then a² + b² = 0

Statement 2: a² + b² = (a + b)².

Which of the following is valid?

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.

Assertion (A): If x = $\dfrac{1}{x}$, then x = ± 1.

Reason (R): $\Big(x - \dfrac{1}{x}\Big)\Big(x + \dfrac{1}{x}\Big) = x^2 - \dfrac{1}{x^2}$

1. Assertion (A) is true, Reason (R) is false.

2. Assertion (A) is false, Reason (R) is true.

3. Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).

Find the expansions of the following :

(i) (2x + 3y + 5)(2x + 3y - 5)

(ii) (6 - 4a - 7b)²

(iii) (7 - 3xy)³

(iv) (x + y + 2)³

Simplify (x - 2)(x + 2)(x² + 4)(x⁴ + 16).