What is expand (4/s-1/(s^3))^2 ?

The solution to expand (4/s-1/(s^3))^2 is (16s^4-8s^2+1)/(s^6)

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expand (4/s-1/(s^3))^2

expand

(\frac{4}{s} - \frac{1}{s ^{3}})^{2}

\frac{16 s ^{4} - 8 s ^{2} + 1}{s ^{6}}

Solution steps

(\frac{4}{s} - \frac{1}{s ^{3}})^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(\frac{4}{s})^{2} - 2 \cdot \frac{4}{s} \cdot \frac{1}{s ^{3}} + (\frac{1}{s ^{3}})^{2} : \frac{16 s ^{4} - 8 s ^{2} + 1}{s ^{6}}

= \frac{16 s ^{4} - 8 s ^{2} + 1}{s ^{6}}

\frac{1}{( t + t ^{2} ) ^{13}}

48 (3 - 5)

\frac{1}{tan ^{2} ( x )} + 1 \cdot sec (x)

4 (3 - 2)

2400 (1 - \frac{1}{e ^{3}})

What is expand (4/s-1/(s^3))^2 ?
The solution to expand (4/s-1/(s^3))^2 is (16s^4-8s^2+1)/(s^6)