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

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

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

simplify

2 a + x \cdot a - x

2 (x + a) (- x + a)

Solution steps

2 a + x a - x

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

x + a - x + a = (x + a) (- x + a)

= 2 (x + a) (- x + a)

2 (2 a^{2} b)

- 6 e^{- 3 t} \cdot 18 e^{- 3 t}

\frac{1 - x}{x + 2}

- 4 e^{4 x} \cdot 4 e^{4 x}

e^{(x)} e^{(- x)}

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