Đáp án: Rút gọn 1/ căn x-1 - 1/ căn x+1 - Đáp án + Giải thích các bước giải 1/(√x-1) - 1/(√x+1) =(√x+1)/((√x-1)(√x+1)) - (√x-1)/((√x+1)(√x-1)) =(√x+1-√x+1)/(x-1) =2/(x-1) Áp dụng A^2-2AB+B^2=(A-B)^2

Đáp án + Giải thích các bước giải 1/(√x-1) - 1/(√x+1) =(√x+1)/((√x-1)(√x+1)) - (√x-1)/((√x+1)(√x-1)) =(√x+1-√x+1)/(x-1) =2/(x-1) Áp dụng A^2-2AB+B^2=(A-B)^2

Đáp án 2/(x-1) Giải thích các bước giải 1/(√x-1)-1/(√x+1) =(√x+1)/((√x-1)(√x+1))-(√x-1)/((√x-1)(√x+1)) =(√x+1-(√x-1))/(x-1) =(√x+1-√x+1)/(x-1) =2/(x-1)

Ngân Nguyễn

4 tháng trước

Rút gọn: 1/ căn x-1 - 1/ căn x+1

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Abaddon

4 tháng trước

Đáp án + Giải thích các bước giải:

`1/(\sqrt{x}-1) - 1/(\sqrt{x}+1)`

`=(\sqrt{x}+1)/((\sqrt{x}-1)(\sqrt{x}+1)) - (\sqrt{x}-1)/((\sqrt{x}+1)(\sqrt{x}-1))`

`=(\sqrt{x}+1-\sqrt{x}+1)/(x-1)`

`=2/(x-1)`

Áp dụng : `A^2-2AB+B^2=(A-B)^2`

Doraemon19

4 tháng trước

Đáp án:

`2/(x-1)`

Giải thích các bước giải:

`1/(\sqrt{x}-1)-1/(\sqrt{x}+1)`

`=(\sqrt{x}+1)/((\sqrt{x}-1)(\sqrt{x}+1))-(\sqrt{x}-1)/((\sqrt{x}-1)(\sqrt{x}+1))`

`=(\sqrt{x}+1-(\sqrt{x}-1))/(x-1)`

`=(\sqrt{x}+1-\sqrt{x}+1)/(x-1)`

`=2/(x-1)`

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