Question

Срочно помогите хотя бы один- два примера пример ​

Answer 1

1)

$\frac{6k^2-6c^2}{k-c}=\frac{6(k^2-c^2)}{k-c}=\frac{6(k-c)(k+c)}{k-c}=6(k+c)$

$6\cdot(-4\frac{1}{3}+5\frac{1}{3})=6\cdot1=6$

2)

$\left(\frac{a-x}{a}-\frac{a}{a-x}\right)\cdot\frac{a(a-x)}{x}=\frac{(a-x)^2-a^2}{a(a-x)}\cdot\frac{a(a-x)}{x}=$

$\frac{a^2-2ax+x^2-a^2}{x}=\frac{-2ax+x^2}{x}=\frac{x(-2a+x)}{x}=-2a+x$

$-2\cdot1\frac{3}{8}\cdot+1\frac{3}{4}=-2\frac{6}{8}+1\frac{3}{4}=-2\frac{3}{4}+1\frac{3}{4}=-1$

3)

$\frac{2x-4}{x^2+12x+36}:\frac{8x-16}{x^2-36}=\frac{2(x-2)}{(x+6)^2}:\frac{8(x-2)}{(x-6)(x+6)}=$

$\frac{2(x-2)}{(x+6)^2} \cdot \frac{(x-6)(x+6)}{8(x-2)} = \frac{x-6}{4(x+6)}$

$\frac{-1,2-6}{4\cdot(-1,2+6)}=\frac{-7,2}{4\cdot4,8}=\frac{-7,2}{19,2}=- \frac{3}{8}$