Упрощение выражений

1. $$\frac{12a^8c}{15a^2c^5} = \frac{4a^{8-2}}{5c^{5-1}} = \frac{4a^6}{5c^4}$$

2. $$\frac{25-x^2}{25-5x} = \frac{(5-x)(5+x)}{5(5-x)} = \frac{5+x}{5}$$

3. $$\frac{x^2-10x+25}{5x-25} = \frac{(x-5)^2}{5(x-5)} = \frac{x-5}{5}$$

4. $$\frac{a^2+a^5}{a^8+a^5} = \frac{a^2(1+a^3)}{a^5(a^3+1)} = \frac{a^2}{a^5} = \frac{1}{a^3}$$

5. $$\frac{12y^2-8y}{2-3y} = \frac{4y(3y-2)}{-(3y-2)} = -4y$$

6. $$\frac{a^2-9}{9-6a+a^2} = \frac{(a-3)(a+3)}{(a-3)^2} = \frac{a+3}{a-3}$$

7. $$\frac{x^3+8}{x^3+2x^2-3x-6} = \frac{(x+2)(x^2-2x+4)}{x^2(x+2)-3(x+2)} = \frac{(x+2)(x^2-2x+4)}{(x+2)(x^2-3)} = \frac{x^2-2x+4}{x^2-3}$$