What is expand (2/s-1/(s^3))^2 ?

The solution to expand (2/s-1/(s^3))^2 is (4s^4-4s^2+1)/(s^6)

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expand (2/s-1/(s^3))^2

expand

(\frac{2}{s} - \frac{1}{s ^{3}})^{2}

\frac{4 s ^{4} - 4 s ^{2} + 1}{s ^{6}}

Solution steps

(\frac{2}{s} - \frac{1}{s ^{3}})^{2}

Apply Perfect Square Formula:

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

(\frac{2}{s} - \frac{1}{s ^{3}})^{2} = (\frac{2}{s})^{2} - 2 \cdot \frac{2}{s} \cdot \frac{1}{s ^{3}} + (\frac{1}{s ^{3}})^{2}

= (\frac{2}{s})^{2} - 2 \cdot \frac{2}{s} \cdot \frac{1}{s ^{3}} + (\frac{1}{s ^{3}})^{2}

Simplify

(\frac{2}{s})^{2} - 2 \cdot \frac{2}{s} \cdot \frac{1}{s ^{3}} + (\frac{1}{s ^{3}})^{2} : \frac{4 s ^{4} - 4 s ^{2} + 1}{s ^{6}}

= \frac{4 s ^{4} - 4 s ^{2} + 1}{s ^{6}}

(33 a - 3 x)^{3}

\frac{( 1 - 4 x ^{3} ) ( 3 + 8 x ^{3} )}{( 8 x ^{2} - 1 ) ( 8 x ^{2} - 3 )}

(x - 1 + 6) (x - 1 - 6) (x + 2 - 42)

\frac{4}{( x + 2 ) ^{3}}

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

What is expand (2/s-1/(s^3))^2 ?
The solution to expand (2/s-1/(s^3))^2 is (4s^4-4s^2+1)/(s^6)