"FACTORING"

[luiz_322]

i need help in this problem

4m^3-m^2+12m-3

and i tried solvin like this

3m+12m-3=15m-3 but i got it wrong and i dont know where i went wrong

can you please help me in this problem thank you

 

[soroban]

Hello, luiz_322 !

Factor: \(\displaystyle \,4m^3\,-\,m^2\,+\,12m\,-\,3\)

Usually, with four or more terms, try factoring "by grouping".

Factor them "in pairs": \(\displaystyle \:m^2(\underbrace{4m\,-\,1})\,+\,3(\underbrace{4m\,-\,1})\)
. . . . . . . . . . . . . . . . . . . . . See the common factor?

Factor it out: \(\displaystyle \4m\,-\,1)(m^2\,+\,3)\)

 

[luiz_322]

well thank you so much that really helped