How do I factor this problem `-105m^6n+28m^5n^2+21m^4n^3`

Asked on by monique06

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pramodpandey's profile pic

pramodpandey | College Teacher | (Level 3) Valedictorian

Posted on

We have given


`HCF (105,28,21)=7`

`HCF (m^6n,m^5n^2,m^4n^3)=m^4n`

`Thus` factor out `7m^4n`  from the given expression


splitting the middle term ,in the bracket




which is required facors.

oldnick's profile pic

oldnick | (Level 1) Valedictorian

Posted on

`-105m^6n+28m^5n^2+21m^4n^3` `=7m^4n(-15m^2+4mn+3n^2)=` `-7m^4n(15m^2-4mn-3n^2)=` `-7m^4n(15m^2+5mn -9mn-3n^2)=`

`-7m^4n[5m(3m+n)-3n(3m+n)]=` `-7m^4n(5m-3n)(3m+n)`

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