What is (sqrt(x+1)+2sqrt(x))(3sqrt(x+1)-sqrt(x)) ?

The solution to (sqrt(x+1)+2sqrt(x))(3sqrt(x+1)-sqrt(x)) is x+5sqrt(x)sqrt(x+1)+3

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simplify (sqrt(x+1)+2sqrt(x))(3sqrt(x+1)-sqrt(x))

simplify

(x + 1 + 2 x) (3 x + 1 - x)

x + 5 x x + 1 + 3

Solution steps

(x + 1 + 2 x) (3 x + 1 - x)

Apply FOIL method

(x + 1 + 2 x) (3 x + 1 - x) : x + 5 x x + 1 + 3

= x + 5 x x + 1 + 3

5 (3 - x) e^{x}

(\frac{5}{x})^{2}

(2 x - 1) e^{x}

(t - 4) sin (2 (t - 4) H (t - 4))

(3 - 3 i)^{4}

What is (sqrt(x+1)+2sqrt(x))(3sqrt(x+1)-sqrt(x)) ?
The solution to (sqrt(x+1)+2sqrt(x))(3sqrt(x+1)-sqrt(x)) is x+5sqrt(x)sqrt(x+1)+3