сократите дробь (201^2-99^2)*3^3n-5/27^n-1. Created by DierMëroö. algebra-ru

27^n-1...

DierMëroö @DierMëroö

July 2022 1 6 Report

сократите дробь (201^2-99^2)*3^3n-5/27^n-1

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$\frac{(201^{2}-99^{2})*3^{3n-5} }{27^{n-1}}= \frac{(201+99)(201-99)*3^{3n-5}}{(3^{3})^{n-1}}= \frac{(300*102)*3 ^{3n-5} }{3^{3n-3}} = \\ \\ 3*100*3*34*3^{3n-5-3n+3}=3400*3^{2}*3^{-2}=3400$

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