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

The solution to (sqrt(5+x)-sqrt(5-x))^2 is -2sqrt(5+x)sqrt(5-x)+10

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

simplify

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

- 2 5 + x 5 - x + 10

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(5 + x)^{2} - 2 5 + x 5 - x + (5 - x)^{2} : - 2 5 + x 5 - x + 10

= - 2 5 + x 5 - x + 10

(14 d^{15} - 7 e^{8})^{2}

(x + \frac{1}{y}) (y + \frac{1}{z}) (z + \frac{1}{x})

+ (x^{2} + y^{2}) d y

6 (\frac{2 x + 4}{3} - \frac{y}{2} = \frac{9}{2})

4 \cdot (\frac{4}{13}) - 2.99 (\frac{3}{13}) - 3 (\frac{3}{13} + \frac{3}{13}) - 3

What is (sqrt(5+x)-sqrt(5-x))^2 ?
The solution to (sqrt(5+x)-sqrt(5-x))^2 is -2sqrt(5+x)sqrt(5-x)+10