Question

Помогите срочно пожалуйста

Answer 1

Ответ:

$\frac{6}{a^2-6a} - \frac{a^2}{6-a} = a + 6 + \frac{36a + 6}{a^2-6a}\\\\\frac{6}{a(a-6)} - \frac{a^2}{6-a} = a + 6 + \frac{6(6a+1)}{a(a-6)}\\\\\frac{6}{a(a-6)} + \frac{a^3}{a(a-6)} = a + 6 + \frac{6(6a+1)}{a(a-6)}\\\\\frac{6}{a(a-6)} + \frac{a^3}{a(a-6)} = \frac{a(a + 6)(a-6)}{a(a-6)} + \frac{6(6a+1)}{a(a-6)}\\\\\frac{6}{a(a-6)} + \frac{a^3}{a(a-6)} = \frac{a^3-6a^2+6a^2-36a+36a+6}{a(a-6)}\\\\\frac{6+a^3}{a(a-6)} = \frac{a^3+6}{a(a-6)}$