Subtract $$ \left(6 x^{2}-5 x y+10 y^{2}\right) $$ from $$ \left(7 x^{2}-x y+4 y^{2}\right) $$

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1. Write the expression to subtract:
   $$
   \left(7x^2 - xy + 4y^2\right) - \left(6x^2 - 5xy + 10y^2\right)
   $$

2. Distribute the negative sign to the second polynomial:
   $$
   7x^2 - xy + 4y^2 - 6x^2 + 5xy - 10y^2
   $$

3. Combine like terms:
   - For $$x^2$$ terms: 
     $$
     7x^2 - 6x^2 = x^2
     $$
   - For $$xy$$ terms: 
     $$
     -xy + 5xy = 4xy
     $$
   - For $$y^2$$ terms: 
     $$
     4y^2 - 10y^2 = -6y^2
     $$

4. Write the final result:
   $$
   x^2 + 4xy - 6y^2
   $$
The result of the subtraction is $$ x^2 + 4xy - 6y^2 $$.

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