Use the Distributive Property to prove that these algebraic expressions are equivalent. Explain your answer in one sentence for each expression and show your work.
Expression 1: (x + 7)(x − 3)
Expression 2: 4x2 + 3x2 +6x − 2x −24 + 3
Expression 1: (x + 7)(x - 3) is equivalent to x(x - 3) + 7(x - 3) by using the Distributive Property.
Expression 2: 4x^2 + 3x^2 + 6x - 2x - 24 + 3 is equivalent to 7x^2 + 4x - 21 by combining like terms.