Помогите! Сократите дробь а) х^2-20/х√5-10 б) 3а-2√6ab+2b\√27a^3-√8b^3. Created by masha751137505. matematika-ru

х√5-10 б) 3а-2√6ab+2b\√27a^3-√8b^3...

masha751137505 @masha751137505

September 2021 1 6 Report

Помогите! Сократите дробь а) х^2-20/х√5-10 б) 3а-2√6ab+2b\√27a^3-√8b^3

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Artem112

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$
\frac{x^2-20}{x \sqrt{5}-10 } =\frac{(x- \sqrt{20})( x+ \sqrt{20})}{ \sqrt{5}(x-\sqrt{20}) } =\frac{ x+ \sqrt{20}}{ \sqrt{5} } 
\\\
 \frac{3a-2 \sqrt{6ab}+2b}{ \sqrt{27a^3}- \sqrt{8b^3}}= \frac{3a-2 \sqrt{6ab}+2b}{ \sqrt{27a^3}- \sqrt{8b^3}}= \frac{( \sqrt{3a}- \sqrt{2b})^2}{ ( \sqrt{3a}- \sqrt{2b})(3a+ \sqrt{6ab}+2b)}= \frac{ \sqrt{3a}- \sqrt{2b}}{ 3a+ \sqrt{6ab}+2b}$

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masha751137505 October 2021 | 0 Ответы

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