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4) 16(m - 2n) and 16m - 32n

Question

  1. 16(m - 2n) and 16m - 32n

Explanation:

Step1: Expand the first expression

Using the distributive property \(a(b - c)=ab - ac\), for \(16(m - 2n)\), we have \(16\times m-16\times2n = 16m-32n\).

Step2: Compare with the second expression

The second expression is \(16m - 32n\). Since \(16(m - 2n)=16m - 32n\), the two expressions are equal.

Answer:

The two expressions \(16(m - 2n)\) and \(16m - 32n\) are equal.