What is (sqrt(a+3)+sqrt(a-3))^2 ?

The solution to (sqrt(a+3)+sqrt(a-3))^2 is 2a+2sqrt(a+3)sqrt(a-3)

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simplify (sqrt(a+3)+sqrt(a-3))^2

simplify

(a + 3 + a - 3)^{2}

2 a + 2 a + 3 a - 3

Solution steps

(a + 3 + a - 3)^{2}

Apply Perfect Square Formula:

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

(a + 3 + a - 3)^{2} = (a + 3)^{2} + 2 a + 3 a - 3 + (a - 3)^{2}

= (a + 3)^{2} + 2 a + 3 a - 3 + (a - 3)^{2}

Simplify

(a + 3)^{2} + 2 a + 3 a - 3 + (a - 3)^{2} : 2 a + 2 a + 3 a - 3

= 2 a + 2 a + 3 a - 3

\frac{1}{( 2 ^{x} )} + \frac{1}{( 2 ^{x} )} + \frac{1}{( 2 ^{x} )} + \frac{1}{( 2 ^{x} )}

1453.5 (9.6 + 18.4 y + 597.2 y) - 28.5

(b + c) 3

(5 x^{2} \cdot y^{2} \cdot m^{3} \cdot n)^{4}

\frac{25}{4} x^{2} - \frac{y ^{2}}{9}

What is (sqrt(a+3)+sqrt(a-3))^2 ?
The solution to (sqrt(a+3)+sqrt(a-3))^2 is 2a+2sqrt(a+3)sqrt(a-3)