Question

найдите значение выражения x/x^2-6x+9 - x+5/x^2+2x-15

Answer 1

x/x^2-6x+9 - x+5/x^2+2x-15

x^2-6x+9=(x-3)^2

x^2+2x-15=(x-3)*(x+5)

x/x^2-6x+9 - x+5/x^2+2x-15 = x/(x-3)^2  - x+5/(x-3)*(x+5) = x(x+5)-(x+5)*(x-3)/(x-3)^2  *(x+5) = (x+5)*(x-x+3) / (x-3)^2  *(x+5) = 3/(x-3)^2  *(x+5)

 

Ответ: 3/(x-3)^2  *(x+5)