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

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

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

expand

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

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

Solution steps

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

(x^{2} - 1)^{2} = x^{4} - 2 x^{2} + 1

= \frac{x ^{4} - 2 x ^{2} + 1}{3}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{x ^{4} - 2 x ^{2} + 1}{3} = \frac{x ^{4}}{3} - \frac{2 x ^{2}}{3} + \frac{1}{3}

= \frac{x ^{4}}{3} - \frac{2 x ^{2}}{3} + \frac{1}{3}

\frac{200 ( 1 - α ) ^{2}}{( 2 - α ) ( 5 - 3 α )}

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

(- 301 F^{\circ} - 32) (\frac{5}{9})

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

\frac{( - 24 x ^{2} + 12 x - 15 ) ( 4 x - 1 )}{16}

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