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

The solution to expand ((x^3)/2-1/(2x^3))^2 is (x^{12}-2x^6+1)/(4x^6)

Popular >

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

expand

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

\frac{x ^{12} - 2 x ^{6} + 1}{4 x ^{6}}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(\frac{x ^{3}}{2})^{2} - 2 \cdot \frac{x ^{3}}{2} \cdot \frac{1}{2 x ^{3}} + (\frac{1}{2 x ^{3}})^{2} : \frac{x ^{12} - 2 x ^{6} + 1}{4 x ^{6}}

= \frac{x ^{12} - 2 x ^{6} + 1}{4 x ^{6}}

(4 + z) (11 + z)

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

\frac{( s + 1 ) ( s + 2 )}{s ( s + 3 ) ( s + 4 )}

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

\frac{( r _{1} r _{2} c + L ) ( 1 - w ^{2} L c )}{c ^{2} w}

What is expand ((x^3)/2-1/(2x^3))^2 ?
The solution to expand ((x^3)/2-1/(2x^3))^2 is (x^{12}-2x^6+1)/(4x^6)