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Answer»

\\\sf(6 { a}^{4}  {x}^{3}  - 30 {a}^{3}  {x}^{2}  + 24 {a}^{5}  {x}^{3} ) \div 6 {a}^{3}  {x}^{3}\\\\

STEP by step EXPLANATION

\\\\\rightarrowtail\sf \cfrac{(6 { a}^{4}  {x}^{3}  - 30 {a}^{3}  {x}^{2}  + 24 {a}^{5}  {x}^{3} ) }{6 {a}^{3}  {x}^{3} }

\rightarrowtail\sf \cfrac{6 {a}^{3} {x}^{2}  ( ax  - 5  + 4 {a}^{2}x  ) }{6 {a}^{3}  {x}^{3} }

\rightarrowtail\sf \cfrac{ \cancel{6 {a}^{3} }{x}^{2}  ( ax  - 5  + 4 {a}^{2}x  ) }{ \cancel{6 {a}^{3} } {x}^{3} }

\rightarrowtail\sf \cfrac{{x}^{2}  ( ax  - 5  + 4 {a}^{2}x  ) }{  {x}^{3} }

\rightarrowtail\sf \cfrac{  ( ax   + 4 {a}^{2}x  ) -5}{  x}

\rightarrowtail\sf \cfrac{   x(a    + 4 {a}^{2}  ) - 5 }{ x }

\rightarrowtail\bf {\gray{a    + 4 {a}^{2}  -\bf{\cfrac{5}{x}}}}



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