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Which property of multiplication is shown?\newlineprqr=(pq)rp \cdot r - q \cdot r = (p - q) \cdot r

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Q. Which property of multiplication is shown?\newlineprqr=(pq)rp \cdot r - q \cdot r = (p - q) \cdot r
  1. Identify Property of Multiplication: Identify the property of multiplication by examining the equation prqr=(pq)rp \cdot r - q \cdot r = (p - q) \cdot r. The left side of the equation shows each term pp and qq being multiplied by rr and then subtracted. The right side of the equation shows the difference of pp and qq being multiplied by rr. This is an example of the distributive property, which states that a(b+c)=ab+aca(b + c) = ab + ac or a(bc)=abaca(b - c) = ab - ac.
  2. Examine Equation: Check for any mathematical errors in the identification of the property.\newlineThe distributive property has been correctly identified, and the equation matches the form a(bc)=abaca(b - c) = ab - ac, where aa is rr, bb is pp, and cc is qq.

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