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

The solution to (sqrt(x+1)+3x)/(sqrt(x+1)-3x) is ((sqrt(x+1)+3x)^2)/(x+1-9x^2)

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

simplify

\frac{x + 1 + 3 x}{x + 1 - 3 x}

\frac{( x + 1 + 3 x ) ^{2}}{x + 1 - 9 x ^{2}}

Solution steps

\frac{x + 1 + 3 x}{x + 1 - 3 x}

Multiply by the conjugate

\frac{x + 1 + 3 x}{x + 1 + 3 x}

= \frac{( x + 1 + 3 x ) ( x + 1 + 3 x )}{( x + 1 - 3 x ) ( x + 1 + 3 x )}

Simplify

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

(x + 1 - 3 x) (x + 1 + 3 x) = x + 1 - 9 x^{2}

= \frac{( x + 1 + 3 x ) ^{2}}{x + 1 - 9 x ^{2}}

6 4^{2}

2 i^{6} (3 i + 4)

\frac{1}{x} \cdot \frac{1}{x ^{2}}

6 (- 0.3 b - 5 b + 3) - 4 b

1724 - 5150

What is (sqrt(x+1)+3x)/(sqrt(x+1)-3x) ?
The solution to (sqrt(x+1)+3x)/(sqrt(x+1)-3x) is ((sqrt(x+1)+3x)^2)/(x+1-9x^2)