Преобразуйте выражение:
[tex](1 + \frac{3x + {x}^{2} }{x + 3} ) \div ( \frac{1}{x + 1} - \frac{x}{1 + 2x + {x}^{2} } )[/tex]
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Ответ:

Объяснение:

1. 1+(3x+x²)/(x+3)=1+(x*(x+3)/(x+3))=1+x=x+1.

2. (1/(x+1))-x/(1+2x+x²)=(1/(x+1))-x/(x+1)²=(x+1-x)/(x+1)²=1/(x+1)².

3. (x+1)÷1/(x+1)²=(x+1)*(x+1)²=(x+1)³.