Step-by-step explanation:
[tex]\qquad\quad {:}\leadsto\sf \dfrac {2x (x+7)}{\cancel{(x-3)}}\times {\dfrac {(x-9)\cancel{(x-3)}}{8x^2 (x+7)}}[/tex]
[tex]\qquad\quad {:}\leadsto\sf \dfrac {2x\cancel{(x+7)}}{x-3}\times {\dfrac {x-9}{8x^2 \cancel{(x+7)}}}[/tex]
[tex]\qquad\quad {:}\leadsto\sf \dfrac{2x (x-9)}{8x^2}[/tex]
[tex]\qquad\quad {:}\leadsto\sf \dfrac {\cancel{2x}^2-18x}{\cancel{8x}^2}[/tex]
[tex]\qquad\quad {:}\leadsto\sf \dfrac {18x}{4}[/tex]
[tex]\qquad\quad {:}\leadsto\sf \dfrac {9x}{2}[/tex]
[tex]\qquad\quad {:}\leadsto\sf 4.5x [/tex]
