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6) 15m + 45n + 13 and 5(3m + 9n + 2)

Question

  1. 15m + 45n + 13 and 5(3m + 9n + 2)

Explanation:

Step1: Expand the second expression

$5(3m + 9n+2)=5\times3m+5\times9n + 5\times2=15m + 45n+10$

Step2: Compare the two expressions

The first expression is $15m + 45n+13$ and the second is $15m + 45n + 10$. Since the first two - terms are the same in both expressions, but the constant terms ($13$ and $10$) are different.

Answer:

The two expressions $15m + 45n + 13$ and $5(3m + 9n + 2)$ are not equal.