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.

Question

Expression 1: (x−5)(x+3)

Expression 2: 2x2−x2−2x−20+5

(4 points)

Answer 1

Expression 1 is equivalent to expression 2 because when we apply the distributive property to expression 1, we get 2x^2 - x^2 - 2x - 20 + 5.