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Решить уравнение
$frac{ b^{2}-8ab }{ b^{2}-64 a^{2} }$ при а=$sqrt{2}$,b=$sqrt{8}$

Answer 1

$frac{b^{2}-8ab}{b^{2}-64a^{2}}=frac{b(b-8a)}{(b-8a)(b+8a)}=frac{b}{b+8a} \ a=sqrt2 b=sqrt8 \ frac{sqrt8}{sqrt8+8sqrt2}=frac{2sqrt2}{2sqrt2+8sqrt2}=frac{2sqrt2}{10sqrt2}=frac{1}{5}$