How do you factor

How do you factor 18m^3 - 54m^2 - 42m + 126? Can I get the steps

asked Oct 7, 2018 in ALGEBRA 2 by anonymous
reshown Oct 7, 2018 by bradely

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1 Answer

18m^3 - 54m^2 - 42m + 126

= 6 ( 3m^3 - 9m^2 - 7m + 21 )

= 6 [ 3m^2(m - 3) - 7(m - 3 ) ]

= 6 [ ( 3m^2 - 7) (m - 3) ]

= 6 [ (√3m)^2 - (√7)^2 ] (m - 3)

= 6 (√3m + √7) (√3m - √7) (m - 3)

Answer :

18m^3 - 54m^2 - 42m + 126 = 6 (√3m + √7) (√3m - √7) (m - 3).

answered Oct 10, 2018 by homeworkhelp Mentor

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