Answer:
5mn(2m + 6n + 1)
Explanation:
Look at the coefficients (the numbers): 10, 30, 5
The greatest common factor of 10, 30, and 5 is 5.
Now look at the variable parts of the three terms.
Start with the variable m.
There is m², m, and m.
The GCF of m², m, and m is m.
Now look at the variable n.
There is n, n², n.
The GCF on n, n², and n is n.
The GCF for the entire polynomial is 5mn.
Now we factor out 5mn from all terms.
To factor out 5mn, you divide each term by the GCF, 5mn.
10m²n + 30mn² + 5mn = 5mn(2m + 6n + 1)