2. Представьте в виде дроби: a) \(\frac{3b+7}{3b}-\frac{b^2-5}{b^2}\); б) \(\frac{1}{4p+q}-\frac{1}{4p-q}\); в) \(\frac{5-4y}{y^2-6y}+\frac{4}{y-6}\)

a) \(\frac{3b+7}{3b}-\frac{b^2-5}{b^2} = \frac{(3b+7)b - 3(b^2-5)}{3b^2} = \frac{3b^2+7b-3b^2+15}{3b^2} = \frac{7b+15}{3b^2}\) б) \(\frac{1}{4p+q}-\frac{1}{4p-q} = \frac{(4p-q)-(4p+q)}{(4p+q)(4p-q)} = \frac{4p-q-4p-q}{16p^2-q^2} = \frac{-2q}{16p^2-q^2}\) в) \(\frac{5-4y}{y^2-6y}+\frac{4}{y-6} = \frac{5-4y}{y(y-6)}+\frac{4}{y-6} = \frac{5-4y+4y}{y(y-6)} = \frac{5}{y(y-6)} = \frac{5}{y^2-6y}\)