Упростить: [tex]\frac{ a^{1,5} - x^{1,5}}{ a^{0,5} - x^{0,5} } [/tex]. Created by andekm. algebra-ru

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andekm @andekm

August 2022 1 31 Report

Упростить:
[tex]\frac{ a^{1,5} - x^{1,5}}{ a^{0,5} - x^{0,5} } [/tex]

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$\frac{a^{1,5}-x^{1,5}}{a^{0,5}-x^{0,5}}= \frac{(a^{0,5})^3-(x^{0,5})^3}{a^{0,5}-x^{0,5}}= \frac{(a^{0,5}-x^{0,5})(a+a^{0,5}x^{0,5}+x)}{a^{0,5}-x^{0,5}}=a+a^{0,5}x^{0,5}+x=\\\\=a+x+ \sqrt{ax}$

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