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

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

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

simplify

(x 2 + x) (2 - x)

x + 2 x - 2 x x

Solution steps

(x 2 + x) (2 - x)

Apply FOIL method

(x 2 + x) (2 - x) : x + 2 x - 2 x x

= x + 2 x - 2 x x

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