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 \( 12m \) has a single term with \( m \), while \( 72m - 60 \) has two terms and a different coefficient for \( m \) and a constant term. So \( 12m \) is not equivalent.

Step4: Expand Option I (for confirmation)

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

Answer:

H. \( 12m \)