Answer:
[tex]5m^2(7m^2-75m+50)[/tex]Step-by-step explanation:
Factoring expression:
We factor the numbers and the terms separately, putting the greatest common factor in evidence and dividing the terms.
Greatest common factor between 35, 375 and 250: 5
Greatest common factor between m², m³ and m^4: m² So
[tex]35m^4-375m^3+250m^2=5m^2(\frac{35m^4}{5m^2}-\frac{375m^3}{5m^2}+\frac{250m^2}{5m^2})[/tex][tex]5m^2(\frac{35m^4}{5m^2}-\frac{375m^3}{5m^2}+\frac{250m^2}{5m^2})=5m^2(7m^2-75m+50)[/tex]