Tìm u, v: 3uv^2 - (1/5uv^2 +367x1/4uv^2 - uv^2) + (-19/5uv^2) + 367x1/4uv^2

Let's simplify the given expression step by step:

\[ 3uv^2 - \left(\frac{1}{5}uv^2 + 367 \times \frac{1}{4}uv^2 - uv^2\right) + \left(-\frac{19}{5}uv^2\right) + 367 \times \frac{1}{4}uv^2 \]

First, simplify the terms inside the parentheses:

\[ \frac{1}{5}uv^2 + 367 \times \frac{1}{4}uv^2 - uv^2 \]

Calculate \( 367 \times \frac{1}{4} \):

\[ 367 \times \frac{1}{4} = \frac{367}{4} \]

So the expression inside the parentheses becomes:

\[ \frac{1}{5}uv^2 + \frac{367}{4}uv^2 - uv^2 \]

To combine these terms, find a common denominator. The common denominator for 5, 4, and 1 is 20:

\[ \frac{1}{5}uv^2 = \frac{4}{20}uv^2 \]
\[ \frac{367}{4}uv^2 = \frac{367 \times 5}{20}uv^2 = \frac{1835}{20}uv^2 \]
\[ uv^2 = \frac{20}{20}uv^2 \]

Now combine them:

\[ \frac{4}{20}uv^2 + \frac{1835}{20}uv^2 - \frac{20}{20}uv^2 = \frac{4 + 1835 - 20}{20}uv^2 = \frac{1819}{20}uv^2 \]

Now substitute this back into the original expression:

\[ 3uv^2 - \frac{1819}{20}uv^2 + \left(-\frac{19}{5}uv^2\right) + 367 \times \frac{1}{4}uv^2 \]

Convert \(-\frac{19}{5}uv^2\) to a common denominator of 20:

\[ -\frac{19}{5}uv^2 = -\frac{76}{20}uv^2 \]

Now the expression is:

\[ 3uv^2 - \frac{1819}{20}uv^2 - \frac{76}{20}uv^2 + \frac{1835}{20}uv^2 \]

Combine the terms with a common denominator of 20:

\[ 3uv^2 = \frac{60}{20}uv^2 \]

So the expression becomes:

\[ \frac{60}{20}uv^2 - \frac{1819}{20}uv^2 - \frac{76}{20}uv^2 + \frac{1835}{20}uv^2 \]

Combine all terms:

\[ \frac{60 - 1819 - 76 + 1835}{20}uv^2 = \frac{60 - 76 + 1835 - 1819}{20}uv^2 = \frac{0}{20}uv^2 = 0 \]

So, the simplified expression is:

\[ 0 \]