What is expand (x-1/(2x))^2 ?

The solution to expand (x-1/(2x))^2 is (4x^4-4x^2+1)/(4x^2)

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expand (x-1/(2x))^2

expand

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

\frac{4 x ^{4} - 4 x ^{2} + 1}{4 x ^{2}}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= \frac{4 x ^{4} - 4 x ^{2} + 1}{4 x ^{2}}

(- 1 + Δ x)^{2}

\frac{25 x ^{2}}{( x ^{2} + 8 x + 7 ) ( x + 7 )}

\frac{\partial}{\partial x} ((z) (e^{z} - 7 x yz))

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

\frac{- 2 s ^{3} + 3 s ^{2} t - t ^{3}}{( s - t ) ^{5}}

What is expand (x-1/(2x))^2 ?
The solution to expand (x-1/(2x))^2 is (4x^4-4x^2+1)/(4x^2)