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

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

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simplify ((sqrt(a)+sqrt(b))^2)/(a-b)

simplify

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

\frac{a + 2 a b + b}{a - b}

Solution steps

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

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(a + b)^{2} = (a)^{2} + 2 a b + (b)^{2}

= \frac{( a ) ^{2} + 2 a b + ( b ) ^{2}}{a - b}

Simplify

(a)^{2} + 2 a b + (b)^{2} : a + 2 a b + b

= \frac{a + 2 a b + b}{a - b}

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\frac{450 ( 16 x - 8 )}{8 x ^{2} - 8 x + 5}

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\frac{( s + 1 )}{( s ^{2} - 4 ) ( s + 5 )}

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