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

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

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

expand

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

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

Solution steps

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

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

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{2}{2} = 1

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

Rewrite in standard form

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

(e^{x} + e^{- x}) (e^{x} + e^{- x})

\frac{ln ( s )}{s ( s + 1 )}

(1 + x + 5)^{2}

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

\frac{m R ^{2} ( g t ^{2} - 2 h ) \cdot 0.5}{h}

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