\(=\frac{\left(147-47\right)^2}{\left(125-25\right)\left(125+25\right)}\)
\(=\frac{100^2}{100.150}\) \(=\frac{100}{150}=\frac{2}{3}\)
\(=\frac{147^2-2.47.147+47^2}{\left(125+25\right)\left(125-25\right)}=\frac{\left(147-47\right)^2}{150.100}=\frac{100^2}{150.100}=\frac{100}{150}=\frac{2}{3}.\)