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anya198686
@anya198686
October 2021
1
15
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упростить выражение с дробями (6/х-у-5/х+у)х-у/х+11у
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litanalove
В скобках
6/(x-y) -5/(x+y) =(6(x+y) -5(x-y)) /(x-y)(x+y) =(6x +6y -5x +5y) /(x-y)(x+y) =(x +11y) /(x -y)(x +y)
умножение
(x+11y)*(x-y) /(x-y)(x+y)*(x+11y) =1/(x +y)
ответ: 1 /(x+y)
1 votes
Thanks 1
anya198686
спасибо!
litanalove
пожалуйста
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Answers & Comments
6/(x-y) -5/(x+y) =(6(x+y) -5(x-y)) /(x-y)(x+y) =(6x +6y -5x +5y) /(x-y)(x+y) =(x +11y) /(x -y)(x +y)
умножение
(x+11y)*(x-y) /(x-y)(x+y)*(x+11y) =1/(x +y)
ответ: 1 /(x+y)