а) (х-9)/(х-3)(х+3) +3/х(х-3) = (х^2-9x+3x+9)/x(x-3)(x+3) = (x^2-6x+9)/x(x-3)(x+3) = (x-3)^2/x(x-3)(x+3)(x-3)/x(x+3)
б) 1/x-2 - 6x/(x-2)(x^2+2x+4) = (x^2+2x+4-6x)/(x-2)(x^2+2x+4) = (x^2-4x+4)/(x-2)(x^2+2x+4) = (x-2)^2/(x-2)(x^2+2x+4) =(x-2)/(x^2+2x+4)
в) /x + 21/x(x-7) - (4-x)/(x-7) = (3x-21+21-4x+x^2)/x(x-7) = (x^2-x)/x(x-7) = (x-1)/(x-7)
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Answers & Comments
а) (х-9)/(х-3)(х+3) +3/х(х-3) = (х^2-9x+3x+9)/x(x-3)(x+3) = (x^2-6x+9)/x(x-3)(x+3) = (x-3)^2/x(x-3)(x+3)(x-3)/x(x+3)
б) 1/x-2 - 6x/(x-2)(x^2+2x+4) = (x^2+2x+4-6x)/(x-2)(x^2+2x+4) = (x^2-4x+4)/(x-2)(x^2+2x+4) = (x-2)^2/(x-2)(x^2+2x+4) =(x-2)/(x^2+2x+4)
в) /x + 21/x(x-7) - (4-x)/(x-7) = (3x-21+21-4x+x^2)/x(x-7) = (x^2-x)/x(x-7) = (x-1)/(x-7)
Под в попозже отправлю