What is (sqrt(x+5)+sqrt(20-x))^2 ?

The solution to (sqrt(x+5)+sqrt(20-x))^2 is 2sqrt(x+5)sqrt(20-x)+25

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simplify (sqrt(x+5)+sqrt(20-x))^2

simplify

(x + 5 + 20 - x)^{2}

2 x + 5 20 - x + 25

Solution steps

(x + 5 + 20 - x)^{2}

Apply Perfect Square Formula:

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

(x + 5 + 20 - x)^{2} = (x + 5)^{2} + 2 x + 5 20 - x + (20 - x)^{2}

= (x + 5)^{2} + 2 x + 5 20 - x + (20 - x)^{2}

Simplify

(x + 5)^{2} + 2 x + 5 20 - x + (20 - x)^{2} : 2 x + 5 20 - x + 25

= 2 x + 5 20 - x + 25

\frac{69840 e ^{- 0.97 t}}{( 1 + 9 e ^{- 0.97 t} ) ^{2}}

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

\frac{6}{x ( x + 9 )}

\frac{( x - 3 ) ( x + 5 )}{2}

(\frac{- 2 x + 5}{3})^{2}

What is (sqrt(x+5)+sqrt(20-x))^2 ?
The solution to (sqrt(x+5)+sqrt(20-x))^2 is 2sqrt(x+5)sqrt(20-x)+25