What is (x+sqrt(1+x^2))^2 ?

The solution to (x+sqrt(1+x^2))^2 is 2x^2+2xsqrt(1+x^2)+1

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simplify (x+sqrt(1+x^2))^2

simplify

(x + 1 + x^{2})^{2}

2 x^{2} + 2 x 1 + x^{2} + 1

Solution steps

(x + 1 + x^{2})^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(x + 1 + x^{2})^{2} = x^{2} + 2 x 1 + x^{2} + (1 + x^{2})^{2}

= x^{2} + 2 x 1 + x^{2} + (1 + x^{2})^{2}

Simplify

x^{2} + 2 x 1 + x^{2} + (1 + x^{2})^{2} : 2 x^{2} + 2 x 1 + x^{2} + 1

= 2 x^{2} + 2 x 1 + x^{2} + 1

\frac{x ^{2} + 5}{x ^{3} ( x ^{2} + 4 )}

(x^{2} ln (x)) d y + (x y - 1) d x

(\frac{3 i}{n} - 2)^{2}

(a + bi)^{5}

2 (3 e^{- x} x^{2} - e^{- x} x^{3})

What is (x+sqrt(1+x^2))^2 ?
The solution to (x+sqrt(1+x^2))^2 is 2x^2+2xsqrt(1+x^2)+1