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    Factor the Expressions : (r+6)^3-216 and 7(3k-1)^2+26(3k-1)-8

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    (r+6)^3-216

    then

    7(3k-1)^2+26(3k-1)-8.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:25 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/factor-expressions-43932

    Solution Preview

    Please see the attached file for the complete solution.

    Algebra Solutions

    1. ( r + 6 ) 3 - 216 = ( r + 6 ) 3 - ( 6 ) 3 [ by rewriting ]

    Note that , this is of the form : a 3 - b 3 = ( a - b ) ( a 2 + a b + b 2 )

    Replacing a = ( r + 6 ) and b = 6 , we get :

    ( r + 6 ) 3 - 216 = ( [ r + 6 ] - ...

    Solution Summary

    Expressions are factored and the details are provided step-by-step. The solution is well presented.

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