Алгебра номер 500 1)x^6+x^4/x^4+x^2; 2)x^6-x^8/x^4-x^2; 3)m^7-m^10/m^9-m^3; 4) a^6-a^4/a^3+a^2

1) [latex]\frac{x^6+x^4}{x^4+x^2} = \frac{x^2(x^4+x^2)}{x^4+x^2} = x^2[/latex]  2) [latex]\frac{x^6-x^8}{x^4-x^2} = - \frac{x^8-x^6}{x^4-x^2} = - \frac{x^4(x^4-x^2)}{x^4-x^2} = -x^4[/latex]  3) [latex] \frac{m^7-m^{10}}{m^9-m^3} = - \frac{m^{10}-m^7}{m^9-m^3} = - \frac{m^7(m^3-1)}{m^3(m^3-1)} = - \frac{m^7}{m^3} = -1 (m^{7-3}) = -m^4 [/latex] 4) [latex] \frac{a^6-a^4}{ a^3+a^2} = \frac{(a^3-a^2)(a^3+a^2)}{a^3+a^2} = a^3-a^2[/latex]