What is ((x^{1/2})/2-1/(2sqrt(x)))^2 ?

The solution to ((x^{1/2})/2-1/(2sqrt(x)))^2 is ((x-1)^2)/(4x)

Popular >

simplify ((x^{1/2})/2-1/(2sqrt(x)))^2

simplify

(\frac{x ^{\frac{1}{2}}}{2} - \frac{1}{2 x})^{2}

\frac{( x - 1 ) ^{2}}{4 x}

Solution steps

(\frac{x ^{\frac{1}{2}}}{2} - \frac{1}{2 x})^{2}

Join

\frac{x ^{\frac{1}{2}}}{2} - \frac{1}{2 x} : \frac{x - 1}{2 x ^{\frac{1}{2}}}

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

Simplify

(2 x^{\frac{1}{2}})^{2} : 4 x

= \frac{( x - 1 ) ^{2}}{4 x}

\frac{x ^{3} - x}{x ^{2} - 2 x + 1}

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

\frac{12 x - 3 y}{15 a + 10 b} \cdot \frac{21 a + 14 b}{20 x - 5 y}

1 \frac{1}{2} \cdot 3

- 1 + 6 x - 8 x + 4 - 2 x

What is ((x^{1/2})/2-1/(2sqrt(x)))^2 ?
The solution to ((x^{1/2})/2-1/(2sqrt(x)))^2 is ((x-1)^2)/(4x)