Question

Factor 10m^5 + 5m^4 - 25m^2

Answer 1

10m^5 + 5m^4 - 25m^2
= 5m^2(2m^3 + m^2 - 5)

hope it helps

Answer 2

Answer: 5m^2 (2m^3 + m^2 - 5)

Step-by-step explanation:

1) Notice that the three terms contain the factor 5m^2, so you can extract this factor (common factor).

2) To extract common factor you divide each term (monomial) by the common factor:

3)

10m^5
---------- = 2m^3
5m^2

4)

5m^4
-------- = m^2
5m^2

5)

25m^2
- ----------- = - 5
5m^2

6) Write the factored expression: 5m^2 (2m^3 + m^2 - 5), which is the answer.