What is (sqrt(a+x)+sqrt(a-x))^2 ?

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

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simplify (sqrt(a+x)+sqrt(a-x))^2

simplify

(a + x + a - x)^{2}

2 a + 2 a + x a - x

Solution steps

(a + x + a - x)^{2}

Apply Perfect Square Formula:

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

(a + x + a - x)^{2} = (a + x)^{2} + 2 a + x a - x + (a - x)^{2}

= (a + x)^{2} + 2 a + x a - x + (a - x)^{2}

Simplify

(a + x)^{2} + 2 a + x a - x + (a - x)^{2} : 2 a + 2 a + x a - x

= 2 a + 2 a + x a - x

\frac{e ^{- n}}{( 1 + e ^{- n} ) ^{2}}

(e^{u} - e^{- u})^{2}

\frac{0.825}{( 0.1 s + 1 ) ( 48.07 s ^{2} + 14.37 s + 1 )}

\frac{x ^{5} + y ^{2} - 5}{( 1 + x ) ^{3}}

\frac{6}{( x + 4 ) ^{2}}

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