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

The solution to (sqrt(3-x)+sqrt(x+2))^2 is 2sqrt(3-x)sqrt(x+2)+5

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

simplify

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

2 3 - x x + 2 + 5

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(3 - x)^{2} + 2 3 - x x + 2 + (x + 2)^{2} : 2 3 - x x + 2 + 5

= 2 3 - x x + 2 + 5

n o t ab l e (9 y^{5} + 2)^{2}

(- 20 x y^{2} + 6 x) d x + (3 y^{2} - 20 x^{2}) d y

(3 x - \frac{1}{4 x})^{6}

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

3 (\frac{1}{13} e^{13 x} + C)

What is (sqrt(3-x)+sqrt(x+2))^2 ?
The solution to (sqrt(3-x)+sqrt(x+2))^2 is 2sqrt(3-x)sqrt(x+2)+5