Ответ:
[tex]1,7[/tex]
Объяснение:
[tex]\dfrac{a^{2}-64b^{2}}{a^{2}}:\dfrac{ab-8b^{2}}{a}=\dfrac{a^{2}-8^{2}b^{2}}{a^{2}} \cdot \dfrac{a}{b(a-8b)}=\dfrac{(a^{2}-(8b)^{2})a}{a^{2}b(a-8b)}=\dfrac{(a-8b)(a+8b)}{ab(a-8b)}=[/tex]
[tex]=\dfrac{a+8b}{ab};[/tex]
[tex]a=4, \ b=-20; \quad \dfrac{4+8 \cdot (-20)}{4 \cdot (-20)}=\dfrac{4-160}{-80}=\dfrac{-156}{-80}=\dfrac{156}{80}=\dfrac{17}{10}=1,7;[/tex]
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Answers & Comments
Ответ:
[tex]1,7[/tex]
Объяснение:
[tex]\dfrac{a^{2}-64b^{2}}{a^{2}}:\dfrac{ab-8b^{2}}{a}=\dfrac{a^{2}-8^{2}b^{2}}{a^{2}} \cdot \dfrac{a}{b(a-8b)}=\dfrac{(a^{2}-(8b)^{2})a}{a^{2}b(a-8b)}=\dfrac{(a-8b)(a+8b)}{ab(a-8b)}=[/tex]
[tex]=\dfrac{a+8b}{ab};[/tex]
[tex]a=4, \ b=-20; \quad \dfrac{4+8 \cdot (-20)}{4 \cdot (-20)}=\dfrac{4-160}{-80}=\dfrac{-156}{-80}=\dfrac{156}{80}=\dfrac{17}{10}=1,7;[/tex]