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Which property of multiplication is shown?\newlinen(pq)=npnqn \cdot (p - q) = n \cdot p - n \cdot q\newlineChoices:\newline(A) identity\newline(B) zero\newline(C) commutative\newline(D) distributive

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Q. Which property of multiplication is shown?\newlinen(pq)=npnqn \cdot (p - q) = n \cdot p - n \cdot q\newlineChoices:\newline(A) identity\newline(B) zero\newline(C) commutative\newline(D) distributive
  1. Identify Property: Identify which property of multiplication allows you to multiply a single term by each term inside a parenthesis separately.\newlineThe distributive property of multiplication over addition or subtraction states that a(b+c)=ab+aca(b + c) = ab + ac or a(bc)=abaca(b - c) = ab - ac. This property allows you to distribute the multiplication over the addition or subtraction inside the parentheses.
  2. Match Equation: Match the given equation n(pq)=npnqn \cdot (p - q) = n \cdot p - n \cdot q with the correct property of multiplication.\newlineThe equation matches the form of the distributive property: a(bc)=abaca(b - c) = ab - ac, where aa is nn, bb is pp, and cc is qq.
  3. Select Answer: Select the answer choice that corresponds to the distributive property of multiplication.\newlineThe correct choice that represents the distributive property is (D)(D)distributive.

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