What is expand ((x^2-8)^2)/2 ?

The solution to expand ((x^2-8)^2)/2 is (x^4)/2-8x^2+32

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expand ((x^2-8)^2)/2

expand

\frac{( x ^{2} - 8 ) ^{2}}{2}

\frac{x ^{4}}{2} - 8 x^{2} + 32

Solution steps

\frac{( x ^{2} - 8 ) ^{2}}{2}

(x^{2} - 8)^{2} = x^{4} - 16 x^{2} + 64

= \frac{x ^{4} - 16 x ^{2} + 64}{2}

Apply the fraction rule:

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

\frac{x ^{4} - 16 x ^{2} + 64}{2} = \frac{x ^{4}}{2} - \frac{16 x ^{2}}{2} + \frac{64}{2}

= \frac{x ^{4}}{2} - \frac{16 x ^{2}}{2} + \frac{64}{2}

Divide the numbers:

\frac{16}{2} = 8

= \frac{x ^{4}}{2} - 8 x^{2} + \frac{64}{2}

Divide the numbers:

\frac{64}{2} = 32

= \frac{x ^{4}}{2} - 8 x^{2} + 32

t^{4} (e^{\frac{11}{3}} + t^{2})

(x + 5 y = - 15) \cdot (- 1)

- \frac{j}{( 1 - 2 j ) \cdot ( 1 + 2 j )}

\frac{d}{d x} \frac{( 50 ( x - 2 ) ^{3} )}{e ^{x}} + 10

\frac{8}{( s - 2 ) ( s ^{2} - 4 s + 20 )}

What is expand ((x^2-8)^2)/2 ?
The solution to expand ((x^2-8)^2)/2 is (x^4)/2-8x^2+32