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

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

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

simplify

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

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

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

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

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

\frac{1}{( 3 - x ) ^{- 4}}

(- 1 - i 3)^{10}

(x + i y)^{8}

(x + i y)^{7}

\frac{1}{( 1 - e ^{- π s} ) ( s ^{2} + 1 )}

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