\[\boxed{\text{38\ (38).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\textbf{а)}\ \frac{a - b}{b - a} = \frac{a - b}{- (a - b)} = - 1\]
\[\textbf{б)}\ \frac{(a - b)^{2}}{(b - a)^{2}} = \frac{(a - b)^{2}}{( - {(a - b))}^{2}} =\]
\[= \frac{{(a - b)}^{2}}{{(a - b)}^{2}} = 1\]
\[\textbf{в)}\ \frac{(a - b)^{2}}{b - a} = \frac{(a - b)(a - b)}{- (a - b)} =\]
\[= \frac{a - b}{- 1} = - a + b = b - a\]
\[\textbf{г)}\ \frac{a - b}{(b - a)^{2}} = \frac{- (b - a)}{(b - a)(b - a)} =\]
\[= - \frac{1}{b - a} = \frac{1}{a - b}\]
\[\textbf{д)}\ \frac{( - a - b)^{2}}{a + b} = \frac{({- (a + b))}^{2}}{a + b} =\]
\[= \frac{{(a + b)}^{2}}{a + b} = a + b\]
\[\textbf{е)}\ \frac{(a + b)^{2}}{( - a - b)^{2}} = \frac{(a + b)^{2}}{( - {(a + b))}^{2}} =\]
\[= \frac{{(a + b)}^{2}}{{(a + b)}^{2}} = 1\]