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1.![( frac{5}{x-2} -x-2)* frac{2-x}{ x^{2} -6x+9} = frac{5-(2-x)(x-2)}{x-2} * frac{2-x}{(x-3)(x-3)} = frac{5+ (2-x)^{2} }{x-2} * frac{2-x}{( x-3)^{2} } ( frac{5}{x-2} -x-2)* frac{2-x}{ x^{2} -6x+9} = frac{5-(2-x)(x-2)}{x-2} * frac{2-x}{(x-3)(x-3)} = frac{5+ (2-x)^{2} }{x-2} * frac{2-x}{( x-3)^{2} }](https://tex.z-dn.net/?f=%28+frac%7B5%7D%7Bx-2%7D+-x-2%29%2A+frac%7B2-x%7D%7B+x%5E%7B2%7D+-6x%2B9%7D+%3D+frac%7B5-%282-x%29%28x-2%29%7D%7Bx-2%7D+%2A+frac%7B2-x%7D%7B%28x-3%29%28x-3%29%7D+%3D+frac%7B5%2B+%282-x%29%5E%7B2%7D+%7D%7Bx-2%7D+%2A+frac%7B2-x%7D%7B%28+x-3%29%5E%7B2%7D+%7D+)
![frac{5+ (2-x)^{2} }{x-2} * frac{2-x}{( x-3)^{2} } = frac{(5+4-4x+ x^{2} )(2-x)}{(x-2)( x-3)^{2} } = frac{(- x^{2} +4x-9)}{( x-3)^{2} } frac{5+ (2-x)^{2} }{x-2} * frac{2-x}{( x-3)^{2} } = frac{(5+4-4x+ x^{2} )(2-x)}{(x-2)( x-3)^{2} } = frac{(- x^{2} +4x-9)}{( x-3)^{2} }](https://tex.z-dn.net/?f=frac%7B5%2B+%282-x%29%5E%7B2%7D+%7D%7Bx-2%7D+%2A+frac%7B2-x%7D%7B%28+x-3%29%5E%7B2%7D+%7D+%3D+frac%7B%285%2B4-4x%2B+x%5E%7B2%7D+%29%282-x%29%7D%7B%28x-2%29%28+x-3%29%5E%7B2%7D+%7D+%3D+frac%7B%28-+x%5E%7B2%7D+%2B4x-9%29%7D%7B%28+x-3%29%5E%7B2%7D+%7D+)
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