Question

35m^4 - 375m^3 + 250m^2

Answer 1

`5m^2(7m^2-75m+50)`

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

`35m^4-375m^3+250m^2=5m^2((35m^4)/(5m^2)-(375m^3)/(5m^2)+(250m^2)/(5m^2))`
`5m^2((35m^4)/(5m^2)-(375m^3)/(5m^2)+(250m^2)/(5m^2))=5m^2(7m^2-75m+50)`