Question

question
which expression is equivalent to ( m - 10m + 6m )?

answer
( 1 - 4m ) ( -3m )
( m - 4 ) ( -5m )

Explanation:

Step1: Combine like terms

We have the expression \( m - 10m + 6m \). First, combine \( m \) and \( -10m \): \( m-10m=-9m \).

Step2: Combine with the remaining term

Now, add \( 6m \) to \( -9m \): \( -9m + 6m=-3m \)? Wait, no, wait. Wait, \( m - 10m + 6m=(1 - 10 + 6)m \). Let's calculate the coefficient: \( 1-10 = -9 \), then \( -9 + 6=-3 \)? Wait, no, wait, original expression: \( m - 10m + 6m \). Wait, \( m \) is \( 1m \), so \( 1m-10m + 6m=(1 - 10 + 6)m \). \( 1-10=-9 \), \( -9 + 6=-3 \)? Wait, but wait, maybe I made a mistake. Wait, \( m - 10m + 6m \): \( m - 10m=-9m \), then \( -9m + 6m=-3m \)? But wait, the options have -3m and -5m. Wait, no, wait, maybe I miscalculated. Wait, \( 1 - 10 + 6 = (1 + 6)-10 = 7 - 10=-3 \). Wait, but let's check again. Wait, the expression is \( m - 10m + 6m \). So \( m \) is \( 1m \), so coefficients: 1, -10, 6. Sum: 1 - 10 + 6 = -3. So the expression is \( -3m \)? But wait, the options have -3m as an option. Wait, but let me check again. Wait, maybe I misread the problem. Wait, the problem is \( m - 10m + 6m \). So combining like terms: \( (1 - 10 + 6)m = (-3)m \). So the equivalent expression is \( -3m \). Wait, but let's check the options. The options are: 1 - 4m, -3m, m - 4, -5m. So the correct answer is -3m? Wait, but wait, maybe I made a mistake. Wait, 1 - 10 is -9, -9 + 6 is -3. Yes. So the equivalent expression is -3m.

Answer:

\(-3m\) (the option with \(-3m\))