What is sqrt(x+5)*(sqrt(x+5)-sqrt(x-5)) ?

The solution to sqrt(x+5)*(sqrt(x+5)-sqrt(x-5)) is x+5-sqrt(x+5)sqrt(x-5)

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simplify sqrt(x+5)*(sqrt(x+5)-sqrt(x-5))

simplify

x + 5 \cdot (x + 5 - x - 5)

x + 5 - x + 5 x - 5

Solution steps

x + 5 (x + 5 - x - 5)

Apply the distributive law:

a (b - c) = ab - a c

x + 5 (x + 5 - x - 5) = x + 5 x + 5 - x + 5 x - 5

= x + 5 x + 5 - x + 5 x - 5

Apply radical rule:

a a = a,

assuming

a \geq 0

x + 5 x + 5 = x + 5

= x + 5 - x + 5 x - 5

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

(z - \frac{1}{6}) (z + \frac{1}{6})

\frac{22}{( x - 1 ) ( x + 1 )}

\frac{1}{10} - \frac{1}{200} (0.98 - 1) - \frac{3}{50} (3.04 - 3)

10 (8 x - 9 y = 13)

What is sqrt(x+5)*(sqrt(x+5)-sqrt(x-5)) ?
The solution to sqrt(x+5)*(sqrt(x+5)-sqrt(x-5)) is x+5-sqrt(x+5)sqrt(x-5)