Rút gọn P=(căn x-x+2/căn x+1):(căn x/căn x +1-căn x-4/1-x)

To simplify the expression, let's break it down step by step:

p = (sqrt(x) - x + 2) / (sqrt(x+1)) : (sqrt(x) / (sqrt(x) + 1) - sqrt(x-4) / (1-x))

First, let's simplify the numerator of the first fraction:

sqrt(x) - x + 2

Next, let's simplify the denominator of the first fraction:

sqrt(x+1)

Now, let's simplify the numerator of the second fraction:

sqrt(x) / (sqrt(x) + 1) - sqrt(x-4) / (1-x)

To simplify this, we need to find a common denominator. The common denominator is (sqrt(x) + 1)(1-x). So, we can rewrite the expression as:

(sqrt(x)(1-x) - sqrt(x-4)(sqrt(x) + 1)) / ((sqrt(x) + 1)(1-x))

Now, let's simplify the numerator of the second fraction:

sqrt(x)(1-x) - sqrt(x-4)(sqrt(x) + 1)

Finally, let's simplify the denominator of the second fraction:

(sqrt(x) + 1)(1-x)

So, the simplified expression is:

p = (sqrt(x) - x + 2) / sqrt(x+1) : (sqrt(x)(1-x) - sqrt(x-4)(sqrt(x) + 1)) / ((sqrt(x) + 1)(1-x))