Ответ:

8. [tex]x(x-1)(x+y)[/tex]

9. [tex](a+5b)(1+a-5b)[/tex]

10. [tex]c^{4} (c-1)(c+1)(a-1)[/tex]

Объяснение:

8. [tex]x^{3} -yx-x^{2} +yx^{2} = x(x^{2} -y-x+yx) = x(x^{2} -y-x+xy) = x(x(x-1)+y(-1+x))= x(x-1)(x+y)[/tex]

9. [tex]a+5b+a^{2}-25b^{2} = a+5b+(a-5b)(a+5b)=(a+5b)(1+a-5b)[/tex]

10. [tex]ac^{6} -ac^{4} -c^6} +c^{4} = c^{4} (ac^{2} -a-c^{2} +1) = c^{4} (a(c^{2} -1)-(c^{2} -1))=c^{4} (c^{2} -1)(a -1) = c^{4} (c-1)(c+1)(a-1)[/tex]