Question

Find the quotient (PLEASE HELP)

Answer 1

`{ \dashrightarrow{ \sf{ \green{ \frac{ {x}^(2) - 5x - 36}{x + 2} / ( {x}^(2) - 18x + 81)}}}} \\ \\ \\ \\ { \dashrightarrow{ \sf{ \green{ \frac{( {x}^(2) - (9x - 4x)- 36)}{x + 2} / ( {x}^(2) - (9x + 9x) + 81)}}}} \\ \\ \\ { \dashrightarrow{ \sf{ \green{ \frac{ {x}^(2) - 9x + 4x - 36 }{x + 2} /( {x}^(2) - 9x - 9x + 81)}}}}`

`{ \dashrightarrow{ \sf{ \green{ (x(x + 4) - 9(x + 4))/(x + 2) / (x(x - 9) - 9(x - 9))}}}} \\ \\ \\ { \dashrightarrow { \sf{ \green{ ((x + 4)(x - 9))/((x + 2)) / ((x - 9)(x - 9))}}}} \\ \\ \\ { \dashrightarrow{ \sf{ \green{ (( x + 4)(x - 9))/((x + 2)(x - 9)(x - 9))}}}}`

`{ \dashrightarrow{ \underline{ \sf{ \green{ ((x + 4))/((x + 2)(x - 9))}}}}} \\ \\ \\`