[tex](a {}^{ \frac{1}{2} } - a {}^{ \frac{1}{4} } )(a {}^{ \frac{1}{4} } + 1)[/tex]Раскройте скобки:. Created by olesechka2004. algebra-ru

tex]Раскройте скобки:...

olesechka2004 @olesechka2004

July 2022 2 9 Report

[tex](a {}^{ \frac{1}{2} } - a {}^{ \frac{1}{4} } )(a {}^{ \frac{1}{4} } + 1)[/tex]
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$(a^{\frac{1}{2}}-a^{\frac{1}{4}})(a^{\frac{1}{4}}+1)=((a^{\frac{1}{4}})^{2}- a^{\frac{1}{4}})(a^{\frac{1}{4}}+1)=a^{\frac{1}{4}}(a^{\frac{1}{4}}-1)(a^{\frac{1}{4}}+1)=\\\\=a^{\frac{1}{4}}[(a^{\frac{1}{4}})^{2}-1^{2}]=a^{\frac{1}{4}}(a^{\frac{1}{2}}-1)=a^{\frac{3}{4} }-a^{\frac{1}{4}}$

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tamarabernukho

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