Question

Упростите выражение:

Answer 1

$\Big (\frac{4}{b-4b^{0,5}}-\frac{b^{1,5}}{b^2-16b}\Big )\cdot \frac{b^{0,5}}{b^{0,5}+4}=\\\\=\Big (\frac{4}{b^{0,5}\, (b^{0,5}-4)}-\frac{b^{0,5}}{(b^{0,5}-4)(b^{0,5}+4)}\Big )\cdot \frac{b^{0,5}}{b^{0,5}+4}=\\\\=\frac{4\, (b^{0,5}+4)-b}{b\, (b^{0,5}-4)(b^{0,5}+4)}\cdot \frac{b^{0,5}}{b^{0,5}+4}=\frac{4b^{0,5}+16-b}{b^{0,5}(b^{0,5}-4)(b^{0,5}+4)} \cdot \frac{1}{b^{0,5}+4}=\frac{4b^{0,5}+16-b}{b^{0,5}(b^{0,5}-4)(b^{0,5}+4)^2}$