Mathematics, 18.07.2019 02:00 lyssssasantiago6303
What is that factored form of r^27-s^30?
Answers: 1
![r^{27}-s^{30}=r^{9\cdor3}-s^{10\cdot3}=(r^9)^3-(s^{10})^3\\\\=(r^9-s^{10})[(r^9)^2+r^9s^{10}(s^{10})^2]=(r^9-s^{10})(r^{18}+r^9s^{10}+s^{20})\\\\Used:\\\\(a^n)^m=a^{n\cdot m}\\\\a^3-b^3=(a-b)(a^2+ab+b^2)](/tpl/images/0102/3169/29636.png)
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