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Mathematics 17 Online
OpenStudy (anonymous):

how you would factor completely x^9 –27??

OpenStudy (asnaseer):

do you know how to factor \(a^3-b^3\)?

OpenStudy (anonymous):

are those cubed?

OpenStudy (asnaseer):

yes

OpenStudy (anonymous):

would it be (x^3-3)(x^6+3x^3+9)

OpenStudy (anonymous):

I really don't know how to do the difference of cubes

OpenStudy (asnaseer):

\[a^3-b^3=(a-b)(a^2+ab+b^2)\]

OpenStudy (asnaseer):

rewrite your expression as the difference to two cubes and it should become clear what to do next

OpenStudy (anonymous):

oh!! and 27 is actually 3^3!!!

OpenStudy (asnaseer):

bingo! well done! :)

OpenStudy (anonymous):

thank you!!

OpenStudy (asnaseer):

yw :)

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