(x + 3)(x - 3) = x² - 9 by the difference of squares formula.

(x + y + z)² = x² + y² + z² + 2xy + 2yz + 2zx by the expansion of the square of a trinomial.

(x + y)(x - y) = x² - y² by the difference of squares identity.

(x - 4)(x + 4) = x² - 16.

Cotangent is the reciprocal of tangent. Since tan 60° = √3, cot 60° = 1/√3.

Cosecant is the reciprocal of sine. Since sin 30° = 1/2, csc 30° = 1 / (1/2) = 2.

Using the identity, sin(180° - θ) = sin θ.

According to the Pythagorean identity, sin² θ + cos² θ = 1 for any angle θ.

tan(60°) = √3.

The difference of squares is given by a² - b² = (a + b)(a - b).

(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca.

(x - 3)² = x² - 2(3)x + 3² = x² - 6x + 9.

(x - y)³ = x³ - 3x²y + 3xy² - y³ by the binomial theorem.

a² - b² = (a + b)(a - b) by the difference of squares identity.

(a - b)(a + b) = a² - b² by the difference of squares formula.

(a - b)² = a² - 2ab + b² by the expansion of the square of a binomial.

(x + y + z)³ = x³ + y³ + z³ + 3xyz.

(x + y)³ = x³ + y³ + 3xy(x + y) by the binomial expansion.

(x + 2)² = x² + 2*2*x + 2² = x² + 4x + 4.

(a + b)³ = a³ + 3a²b + 3ab² + b³.

(x + y)² = x² + 2xy + y².

(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca.