What is expand ((a+b-2sqrt(ab))(sqrt(a)+sqrt(b)))/(a-b) ?

The solution to expand ((a+b-2sqrt(ab))(sqrt(a)+sqrt(b)))/(a-b) is sqrt(a)-sqrt(b)

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expand ((a+b-2sqrt(ab))(sqrt(a)+sqrt(b)))/(a-b)

expand

\frac{( a + b - 2 ab ) ( a + b )}{a - b}

a - b

Solution steps

\frac{( a + b - 2 ab ) ( a + b )}{a - b}

Expand

(a + b - 2 ab) (a + b) : - a b + a a - b a + b b

= \frac{- a b + a a - b a + b b}{a - b}

Factor

- a b + a a - b a + b b : (a - b) (a - b)

= \frac{( a - b ) ( a - b )}{a - b}

Cancel the common factor:

a - b

= a - b

\frac{x ( x + 1 )}{x + 4}

(a - b) (a - c) (a - d) (a - e)

\frac{( 6 k + 3 ) x ^{2} - k x - 1}{3 x - 1}

f (x) (x = x^{2} + 5)

(x + ln (x + 2))^{2}

What is expand ((a+b-2sqrt(ab))(sqrt(a)+sqrt(b)))/(a-b) ?
The solution to expand ((a+b-2sqrt(ab))(sqrt(a)+sqrt(b)))/(a-b) is sqrt(a)-sqrt(b)