x+3 * x-5 ÷ x(x-3)

Question

simplify  x+3 * x-5 ÷ x(x-3) the entire question was x^+10x+21/x^2+14x+49 ÷ x^2 + 3x/x^2+2x-35 then I got x^2+10x+21/x^2+14x+49 * x^2+2x-35/x^2+3x then I factored and (x+7)(x+3)/(x+7)(x+7) * (x+7)(x-5)/x(x-3)

now im left with x+3 * x-5/x(x-3) please help im so confused !!!

Answer 1

((x²+10x+21)/(x²+14x+49))/((x²+3x)/(x²+2x-35))

 

((x+7)(x+3)/(x+7)(x+7))*((x+7)(x-5))/(x(x+3))

 

(x-5)/x