Question

ребят. ответ в тетради прикрепите фото плиз 100 баллов срочно!!

Answer 1

$\displaystyle \tt 6). \ \frac{c-3}{c}-\frac{c^{2}-9}{c}\cdot\frac{1}{c-3}=\frac{c-3}{c}-\frac{(c-3)(c+3)}{c(c-3)}=\frac{c-3-c-3}{c}=-\frac{6}{c};\\\\{} \ \ \ npu \ \ c=-1,5\\\\{} \ \ \ -\frac{6}{c}=-6:(-1,5)=4;$

$\displaystyle \tt 7). \ x^{3}+x-(x-2)(x^{2}+2x+4)=x^{3}+x-(x^{3}-8)=x+8\\\\{} \ \ npu \ \ \ x=0,0015:\\\\{} \ \ \ x+8=8,0015;$

$\displaystyle \tt 8). \ \frac{a^{7}\cdot a^{9}:a^{4}}{a^{16}:a^{6}\cdot a^{2}}=\frac{a^{7+9-4}}{a^{16-6+2}}=\frac{a^{12}}{a^{12}}=1;$

$\displaystyle \tt 9). \ \frac{(10a^{6}x^{5})^{6}}{(5a^{9}x^{2})^{4}\cdot(2a^{9}x^{5})^{0}}=\frac{5^{6}\cdot2^{6}\cdot a^{36}x^{30}}{5^{4}\cdot a^{36}x^{8}}=5^{2}\cdot2^{6}\cdot x^{22}\\\\{} \ \ \ npu \ \ x=-1:\\\\{} \ \ \ 5^{2}\cdot2^{6}\cdot x^{22}=25\cdot64\cdot(-1)^{22}=1600;$