Question

(3+3корень из х\3-корень из х)*(х-6корень из х+9)

Answer 1

Ответ:

9 - 3√x+3√x)/(3-√x)*(3 -√x)²=9(3-√x) = 9 (3 -sqrt(4/81))=9(3-2/9)=9*3 - 2=25.

Answer 2

To simplify the given expression $(3 + 3\sqrt{\frac{x}{3}} - \sqrt{x})(x - 6\sqrt{x} + 9)$, let's break it down step by step:

1. Expand the expression: $(3 + 3\sqrt{\frac{x}{3}} - \sqrt{x})(x - 6\sqrt{x} + 9)$

   Expand the expression by multiplying each term in the first parentheses by each term in the second parentheses:

   $= 3x - 18\sqrt{x} + 27 + 3x\sqrt{\frac{x}{3}} - 18x + 27\sqrt{x} - \sqrt{x}x + 6\sqrt{x}x - 9\sqrt{x}$

2. Combine like terms: Combine similar terms in the expression:

   $= 6x - 18\sqrt{x} + 27 + 3x\sqrt{\frac{x}{3}} - 9\sqrt{x}$

3. Simplify the square root term: Simplify the square root term by canceling out common factors:

   $= 6x - 18\sqrt{x} + 27 + \sqrt{x}\cdot x - 9\sqrt{x}$ $= 6x - 18\sqrt{x} + 27 + x\sqrt{x} - 9\sqrt{x}$

4. Combine like terms again: Combine the like terms:

   $= x\sqrt{x} - 3\sqrt{x} + 27$

So, the simplified expression is $x\sqrt{x} - 3\sqrt{x} + 27$.