What is expand (n/2-2/n)^2 ?

The solution to expand (n/2-2/n)^2 is (-8n^2+n^4+16)/(4n^2)

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expand (n/2-2/n)^2

expand

(\frac{n}{2} - \frac{2}{n})^{2}

\frac{- 8 n ^{2} + n ^{4} + 16}{4 n ^{2}}

Solution steps

(\frac{n}{2} - \frac{2}{n})^{2}

Apply Perfect Square Formula:

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

(\frac{n}{2} - \frac{2}{n})^{2} = (\frac{n}{2})^{2} - 2 \cdot \frac{n}{2} \cdot \frac{2}{n} + (\frac{2}{n})^{2}

= (\frac{n}{2})^{2} - 2 \cdot \frac{n}{2} \cdot \frac{2}{n} + (\frac{2}{n})^{2}

Simplify

(\frac{n}{2})^{2} - 2 \cdot \frac{n}{2} \cdot \frac{2}{n} + (\frac{2}{n})^{2} : \frac{- 8 n ^{2} + n ^{4} + 16}{4 n ^{2}}

= \frac{- 8 n ^{2} + n ^{4} + 16}{4 n ^{2}}

10 (lo g_{10} (x) - 5)

(2 + 1) (3 + 1)

10 (10 - \frac{e ^{30} - 1}{3 e ^{30}})

(x - 3) (x + 3 - 2)

(x^{2} + 5) (3 - x)

What is expand (n/2-2/n)^2 ?
The solution to expand (n/2-2/n)^2 is (-8n^2+n^4+16)/(4n^2)