Explore BrainMass

Explore BrainMass

    Factorize

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Factorize:
    1) (r+6)^3-216

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

    © BrainMass Inc. brainmass.com March 4, 2021, 6:25 pm ad1c9bdddf
    https://brainmass.com/math/basic-calculus/factorize-functions-solving-43807

    Solution Preview

    1) (r+6)^3-216

    Let us start with (r+6)^3
    (a+b)^3 = a^3 + 3 a^2 b + 3 a b^2 + b^3
    substitute r for a and 6 for b
    (r+6)^3 = r^3 + 3 r^2 (6) + 3 r (6^2) + 6 ^3
    Simplifying
    r^3 + 3 r^2 (6) + 3 r (6^2) + 6 ^3=r^3 + 18 r^2 + 108 r +216
    Thus
    (r+6)^3=r^3 + 18 r^2 + 108 r +216
    and
    (r+6)^3-216 =r^3 + 18 r^2 + 108 r +216 - 216 =r^3 + 18 r^2 + 108 r

    we can take r outside as it is a common factor
    r^3 + 18 r^2 + 108 r = r (r^2 +18 r + 108)

    Answer:
    (r+6)^3-216 ...

    Solution Summary

    The expert finds factors of expressions.

    $2.49

    ADVERTISEMENT