Question

(1 - корень х)(1+ корень х + х)

Answer 1

(1 - √х)(1 + √х + х) =

= 1 + √х + х  -  √х - √х*√х - х√х =

= 1 + √х + х - √х - х - х√х = 1 - х√х

Answer 2

To simplify the expression, let's first expand the second term:

(1 + √x + x)

Now, multiply the two terms together:

(1 - √x) * (1 + √x + x)

Using the distributive property, we can expand the multiplication:

= 1 * (1 + √x + x) - √x * (1 + √x + x)

= 1 + √x + x - √x - √x * √x - √x * x

Now, let's simplify further:

= 1 + √x + x - √x - x - √x^2

Since √x^2 is just x, we can rewrite it:

= 1 + √x + x - √x - x - x

Now, combine like terms:

= (1 - x) + (√x - √x) + (x - x)

The terms (√x - √x) and (x - x) both equal zero:

= (1 - x) + 0 + 0

Finally, the simplified expression is:

= 1 - x