What is expand ln(1+2x)+e^{2x-x^2}(sqrt(3x+1)-1) ?

The solution to expand ln(1+2x)+e^{2x-x^2}(sqrt(3x+1)-1) is ln(1+2x)+e^{2x-x^2}sqrt(3x+1)-e^{2x-x^2}

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expand ln(1+2x)+e^{2x-x^2}(sqrt(3x+1)-1)

expand

ln (1 + 2 x) + e^{2 x - x^{2}} (3 x + 1 - 1)

ln (1 + 2 x) + e^{2 x - x^{2}} 3 x + 1 - e^{2 x - x^{2}}

Solution steps

ln (1 + 2 x) + e^{2 x - x^{2}} (3 x + 1 - 1)

Expand

e^{2 x - x^{2}} (3 x + 1 - 1) : e^{2 x - x^{2}} 3 x + 1 - e^{2 x - x^{2}}

= ln (1 + 2 x) + e^{2 x - x^{2}} 3 x + 1 - e^{2 x - x^{2}}

(x - 49) (x + 7)

4 (- \frac{2}{4})^{3} - (- \frac{2}{4})^{2} - 3 (- \frac{2}{4})

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

- 3 (- 9 - 2)

(5 + 4 x)^{2}

What is expand ln(1+2x)+e^{2x-x^2}(sqrt(3x+1)-1) ?
The solution to expand ln(1+2x)+e^{2x-x^2}(sqrt(3x+1)-1) is ln(1+2x)+e^{2x-x^2}sqrt(3x+1)-e^{2x-x^2}