Question

(m/m-n - m/m+n) : 16m^3n/m^2-n^2 Решить по действиям СРОЧНО!!!!

Answer 1

Ответ:

Пошаговое объяснение:

1). m/(m-n)-m/(m+n)=(m(m+n)-m(m-n))/(m^2-n^2)=(m^2+mn-m^2+mn)/(m^2-n^2)=2mn/(m^2-n^2)

2). 2mn/(m^2-n^2);16m^3n/(m^2-n^2)=2mn/(m^2-n^2)*(m^2-n^2)/16m^3n=

   1/8m^2

Answer 2

I can help you with your math problem. Here are the steps to solve it:

1. Simplify the fractions in the parentheses. $$\frac{m}{m-n} - \frac{m}{m+n} = \frac{m(m+n) - m(m-n)}{(m-n)(m+n)} = \frac{2mn}{(m-n)(m+n)}$$ 2. Multiply both sides by the denominator of the fraction on the left. $$(m-n)(m+n) \cdot \left(\frac{2mn}{(m-n)(m+n)}\right) = (m-n)(m+n) \cdot 16m^3n$$ 3. Cancel out the common factors on both sides. $$\frac{2mn}{\cancel{(m-n)(m+n)}} = \frac{16m^3n}{\cancel{(m-n)(m+n)}}$$ 4. Divide both sides by the remaining common factor. $$\frac{2}{\cancel{m}\cancel{n}} = \frac{16m^2}{\cancel{m}\cancel{n}}$$ 5. Simplify the equation. $$2 = 16m^2$$ 6. Divide both sides by 16. $$\frac{2}{16} = \frac{16m^2}{16}$$ 7. Simplify the equation. $$\frac{1}{8} = m^2$$ 8. Take the square root of both sides. $$\sqrt{\frac{1}{8}} = \sqrt{m^2}$$ 9. Simplify the equation. $$\frac{1}{\sqrt{8}} = m$$ 10. Rationalize the denominator by multiplying by $\sqrt{8}$. $$\frac{\sqrt{8}}{8} = m$$

The final answer is $m = \frac{\sqrt{8}}{8}$. I hope this helps.Ответь+подробно.++(m/m-n+-+m/m+n)+:+16m^3n/m^2-n^2+Решить+по+действиям+СРОЧНО!!!!+