\(=\dfrac{9}{16}\left(\dfrac{13}{4}-\dfrac{5}{4}+\dfrac{17}{4}\right)=\dfrac{9}{16}\cdot\dfrac{25}{4}=\dfrac{225}{64}\)
\(=\dfrac{9}{16}.\dfrac{13}{4}-\dfrac{9}{16}.\dfrac{5}{4}+\dfrac{9}{16}.\dfrac{17}{4}\)
\(=\dfrac{9}{16}.\left(\dfrac{13-5+17}{4}\right)\)
\(=\dfrac{9}{16}.\dfrac{25}{4}\)
\(=\dfrac{225}{64}\)
\(\dfrac{9}{16}.\dfrac{13}{4}-\dfrac{9}{4}.\dfrac{5}{16}+\dfrac{9}{16}.\dfrac{17}{4}\\ =\dfrac{9}{16}.\dfrac{13}{4}-\dfrac{9}{4}.\dfrac{1}{4}.\dfrac{5}{4}+\dfrac{9}{16}.\dfrac{17}{4}\\ =\dfrac{9}{16}.\dfrac{13}{4}-\dfrac{9}{16}.\dfrac{5}{4}+\dfrac{9}{16}.\dfrac{17}{4}\\ =\dfrac{9}{16}\left(\dfrac{13}{4}-\dfrac{5}{4}+\dfrac{17}{4}\right)\\ =\dfrac{9}{16}.\dfrac{25}{4}\\ =\dfrac{225}{64}\)
