What is expand ((8+x^2)^2)/(16) ?

The solution to expand ((8+x^2)^2)/(16) is (x^4)/(16)+x^2+4

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expand ((8+x^2)^2)/(16)

expand

\frac{( 8 + x ^{2} ) ^{2}}{16}

\frac{x ^{4}}{16} + x^{2} + 4

Solution steps

\frac{( 8 + x ^{2} ) ^{2}}{16}

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

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{64}{16} = 4

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

Divide the numbers:

\frac{16}{16} = 1

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

Rewrite in standard form

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

2 (x - \frac{π}{4})

\frac{290400 x ( - x + 1 )}{145 x ^{2} + 2 x + 1}

\frac{1}{( s ^{2} + w ^{2} ) ( t s + 1 )}

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

k (3 x^{2} e^{x} + e^{x} x^{3})

What is expand ((8+x^2)^2)/(16) ?
The solution to expand ((8+x^2)^2)/(16) is (x^4)/(16)+x^2+4