Question

1. which expression is not equivalent to the expression?

72m - 60
f. 6(12m - 10)
g. 4(18m - 15)
h. 12m
i. 12(6m - 5)

Explanation:

Step1: Expand Option F

Expand \(6(12m - 10)\) using distributive property: \(6\times12m - 6\times10 = 72m - 60\).

Step2: Expand Option G

Expand \(4(18m - 15)\) using distributive property: \(4\times18m - 4\times15 = 72m - 60\).

Step3: Analyze Option H

The expression is \(12m\), which is a first - degree monomial, while \(72m - 60\) is a binomial with two terms. Clearly, \(12m\) is not equivalent to \(72m - 60\).

Step4: Expand Option I

Expand \(12(6m - 5)\) using distributive property: \(12\times6m - 12\times5 = 72m - 60\).

Answer:

H. \(12m\)