Question 1: Expand the expression (x + 2)(x + 3)(x + 4) step-by-step.

Answer: x^3 + 9x^2 + 26x + 24

Question 2: Calculate the expansion of (2x - 1)(x + 5)(x - 3).

Answer: 2x^3 - 4x^2 - 23x + 15

Question 3: Expand (x + 1)(x + 2)(x + 3) and identify the coefficient of x^2.

Answer: 6

Question 4: Construct an expanded form of (x + 4)(x - 2)(x + 1).

Answer: x^3 + 3x^2 - 6x - 8

Question 5: Solve for x: Expand (x + 2)(x + 5)(x - 1) = 0 and find the values of x.

Answer: x = -2, -5, 1

Question 6: Identify and correct the mistake in expanding (x + 2)(x + 3)(x + 4) = x^3 + 12x^2 + 44x + 24.

Answer: Incorrect coefficient of x^2; it should be 9x^2, not 12x^2.

Question 7: Expand (3x - 2)(x + 4)(x - 5).

Answer: 3x^3 - 13x^2 - 38x + 40

Question 8: A rectangular garden has sides (x + 2), (x + 3), and (x + 4). Write an expression for its area.

Answer: (x + 2)(x + 3)(x + 4)

Question 9: Expand and simplify: (x + 1)(x + 2)(x + 3).

Answer: x^3 + 6x^2 + 11x + 6

Question 10: Challenge: Expand (x + 1)(x + 2)(x + 3) and then verify by multiplying out step-by-step.

Answer: x^3 + 6x^2 + 11x + 6