The equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)
<em><u>Solution:</u></em>
Given that, we have to factor the given expression
<em><u>Given expression is:</u></em>
48m + 42n
The equivalent expressions can be found by factoring out the common factors of 48 and 42
<em><u>Let us first find the factors of 48 and 42</u></em>
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Thus the common factors are: 1, 2, 3, 6
Let us factor out 2 from given expression
Now factor out 3 from given expression
Now factor out 6 from given expression
Thus the equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)