08-09-2018
Mathematics

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Which expression is the completely factored form of x3 + 8y6 ?

PLEASE HELP ASAP CORRECT ANSWER ONLY PLEASE Which expression is the completely factored form of x3 8y6 class=

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08-09-2018

[tex]x^3+8y^6=x^3+2^3(y^2)^3=x^3+(2y^2)^3\\\\\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\x^3+(2y^2)^3=(x+2y^2)(x^2-(x)(2y^2)+(2y^2)^2)=(x+2y^2)(x^2-2xy^2+4y^4)[/tex]

[tex]Answer:\ (x+2y^2)(x^2-2xy^2+4y^4)[/tex]

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