To find the correct expression that represents the difference of [tex]\((10m - 6) - (7m - 4)\)[/tex], let's simplify the expression step by step.
1. Start with the given expression:
[tex]\[
(10m - 6) - (7m - 4)
\][/tex]
2. Distribute the negative sign through the second parenthesis:
[tex]\[
10m - 6 - 7m + 4
\][/tex]
3. Combine like terms. First, handle the terms involving [tex]\(m\)[/tex]:
[tex]\[
10m - 7m = 3m
\][/tex]
4. Now, handle the constant terms:
[tex]\[
-6 + 4 = -2
\][/tex]
5. Combining both results, the simplified form of the expression is:
[tex]\[
3m - 2
\][/tex]
To match the given answer option:
- First choice: [tex]\([10m + (-7m)] + [(-6) + 4]\)[/tex]
In this choice:
- [tex]\(10m + (-7m) = 3m\)[/tex] matches our combination of [tex]\(m\)[/tex] terms.
- [tex]\((-6) + 4 = -2\)[/tex] matches our combination of constant terms.
Thus, the first choice accurately represents the steps we've taken.
So, the correct expression can be used to find the difference of [tex]\((10m - 6) - (7m - 4)\)[/tex] is:
[tex]\[ [10m + (-7m)] + [(-6) + 4] \][/tex]
