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mima3
@mima3
July 2022
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oganesbagoyan
Verified answer
Task/26411448
--------------------
( (x+3)/(x-3) - x/(x+3) ) : (x+1) / (x+3) =
( (x+3)² -x(x-3) )
/
(x-3)(x+3) * (x+3) /(x+1) =
( x²+6x+9 - x²+3x )
/
(x-3)(x+3) *(x+3) /(x+1) =(9x+9)/(x-3)(x+3) *(x+3) /(x+1)=
9(x+1)(x+3) /(x-3)(x+3) (x+1) =9 /(x-3).
========================
(x+3) / (x-3) - x / (x+3) = ( (x+3)² -x(x-3) )
/
(x-3)(x+3) =
( x²+6x+9 - x²+3x )
/
(x-3)(x+3) =9(x+1) /
(x-3)(x+3)
---
9(x+1) /
(x-3)(x+3) :(x+1) /(x+3) =9(x+1)
/
(x-3)(x+3) *(x+3) / (x+1) =
9(x+1)(x+3)/(x-3)(x+3)(x+1) = 9 /(x-3) .
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mima3
а можно на листочке все по порядку написать?
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Verified answer
Task/26411448--------------------
( (x+3)/(x-3) - x/(x+3) ) : (x+1) / (x+3) =
( (x+3)² -x(x-3) ) / (x-3)(x+3) * (x+3) /(x+1) =
( x²+6x+9 - x²+3x )/(x-3)(x+3) *(x+3) /(x+1) =(9x+9)/(x-3)(x+3) *(x+3) /(x+1)=
9(x+1)(x+3) /(x-3)(x+3) (x+1) =9 /(x-3).
========================
(x+3) / (x-3) - x / (x+3) = ( (x+3)² -x(x-3) )/(x-3)(x+3) =
( x²+6x+9 - x²+3x ) / (x-3)(x+3) =9(x+1) / (x-3)(x+3)
---
9(x+1) / (x-3)(x+3) :(x+1) /(x+3) =9(x+1) /(x-3)(x+3) *(x+3) / (x+1) =
9(x+1)(x+3)/(x-3)(x+3)(x+1) = 9 /(x-3) .