Question

Помогите СРОЧНО дам 55 баллов

Answer 1

$1)\; \; (x-2)\sqrt{\frac{1}{4-4x+x^2}}=(x-2)\sqrt{\frac{1}{(x-2)^2} }=(x-2)\cdot \frac{1}{\sqrt{(x-2)^2}}=\\\\=(x-2)\cdot \frac{1}{|x-2|}=\Big [\; x>2\; \; \Rightarrow \; \; x-2>0\; \; \Rightarrow \; \; |x-2|=x-2\; \Big ]=\\\\=\frac{x-2}{x-2}=1\\\\\\2)\; \; (x-7)\sqrt{\frac{1}{x^2-14x+49}}=(x-7)\cdot \frac{1}{\sqrt{(x-7)^2}}=(x-7)\cdot \frac{1}{|x-7|}=\\\\=\Big [\; x<7\; \; \Rightarrow \; \; x-7<0\; \; \Rightarrow \; \; |x-7|=-(x-7)=7-x\; \Big ]=\\\\=\frac{x-7}{-(x-7)}=-1$

Answer 2

8.    (x-2)*√1/(х²-4х+4)= (x-2)*√1/(х-2)²=(х-2)/(Ix-2I)=1

(x-7)*√1/(х²-14х+49)= (x-7)*√1/(х-7)²=(х-7)/(Ix-7I)=-1