x^2+1/(x-3)^2-5x/(x-3)^2+8-x/(x-3)^2=1 докажите тождество1 вариант 2 задание

Question

x^2+1/(x-3)^2-5x/(x-3)^2+8-x/(x-3)^2=1 докажите тождество

1 вариант 2 задание

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Answer 1

x^2+1/(x-3)^2-5x/(x-3)^2+8-x/(x-3)^2=1
х^2+1-5x+8-x/(x-3)^2=1
x^2+9-6x/(x-3)^2=1
(x-3)^2/(x-3)^2=1
1=1