41. Упростите: 1) \(\frac{d^2-6d+9}{d-3}\); 2) \(\frac{b+7}{b^2+14b+49}\); 3) \(\frac{9-6a+a^2}{3-a}\); 4) \(\frac{1-2p}{1-4p+4p^2}\).

1. \(\frac{(d-3)^2}{d-3}=d-3\).
2. \(\frac{b+7}{(b+7)^2}=\frac{1}{b+7}\).
3. \(\frac{(a-3)^2}{3-a}=-(a-3)=3-a\).
4. \(\frac{1-2p}{(1-2p)^2}=\frac{1}{1-2p}\).

Ответ: 1) \(d-3\); 2) \(\frac{1}{b+7}\); 3) \(3-a\); 4) \(\frac{1}{1-2p}\).