What is p/((2sqrt(p)-1)) ?

The solution to p/((2sqrt(p)-1)) is (p(2sqrt(p)+1))/(4p-1)

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simplify p/((2sqrt(p)-1))

simplify

\frac{p}{( 2 p - 1 )}

\frac{p ( 2 p + 1 )}{4 p - 1}

Solution steps

\frac{p}{2 p - 1}

Multiply by the conjugate

\frac{2 p + 1}{2 p + 1}

= \frac{p ( 2 p + 1 )}{( 2 p - 1 ) ( 2 p + 1 )}

(2 p - 1) (2 p + 1) = 4 p - 1

= \frac{p ( 2 p + 1 )}{4 p - 1}

(2 a + 3 b + 5) (2 a - 3 b + 5)

x^{4} + y^{4} - 2 x^{2} y^{2}

3 x^{2} + x y - 10 y^{2}

(- 3 a^{2})^{4}

\frac{4 x ^{2} - 4 y ^{2}}{x ^{2} - 3 x y - 4 y ^{2}}

What is p/((2sqrt(p)-1)) ?
The solution to p/((2sqrt(p)-1)) is (p(2sqrt(p)+1))/(4p-1)