Answer:
Step-by-step explanation:
The equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)
Solution:
Given that, we have to factor the given expression
Given expression is: 48m + 42n The equivalent expressions can be found by factoring out the common factors of 48 and 42 Let us first find the factors of 48 and 42
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)
