Answer:
[x ÷( x -2) ] + [ 5 ÷( x +3)] = [tex]\frac{x^{2}+ 8 x -10}{x^{2} + x -6}[/tex]
Step-by-step explanation:
[x ÷( x -2) ] + [ 5 ÷( x +3)]
LCM = (x -2) (x + 3)
{ x ( x+3) + 5 ( x -2)} ÷{ ( x-2) ( x +3)
i.e (x² + 3 x + 5 x - 10 ) ÷ { x² + 3 x - 2 x - 6}
i.e ( x² + 8 x - 10) ÷ ( x² + x - 6)
= [tex]\frac{x^{2}+ 8 x -10}{x^{2} + x -6}[/tex]
