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

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

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

simplify

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

2 x + 2 2 - x^{2}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

= 2 x + 2 2 - x^{2}

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