Question

M/2m+2n к знаменателю 2m²+4mn+2n²​

Answer 1

Объяснение:

m/4m³+12m²n+12mn²+4n³

Answer 2

It seems like you're trying to simplify the expression $\frac{m}{2m+2n}$ by rationalizing the denominator. To do this, you can multiply both the numerator and denominator by the conjugate of the denominator, which is $2m + 2n$. Here's how you can do it:

Given expression: $\frac{m}{2m+2n}$

Multiply the numerator and denominator by the conjugate of the denominator: $\frac{m}{2m+2n} \cdot \frac{2m-2n}{2m-2n}$

Now, multiply the numerators and denominators: $\frac{m(2m-2n)}{(2m+2n)(2m-2n)}$

Simplify the expression in the numerator: $\frac{2m^2 - 2mn}{4m^2 - (2n)^2}$

Combine like terms in the numerator: $\frac{2m^2 - 2mn}{4m^2 - 4n^2}$

Factor out a 2 from both the numerator and denominator: $\frac{2(m^2 - mn)}{2(2m^2 - 2n^2)}$

Cancel out the common factor of 2: $\frac{m^2 - mn}{2m^2 - 2n^2}$

So, the simplified expression is $\frac{m^2 - mn}{2m^2 - 2n^2}$.