What is x^4+1/2+1/(16x^4) ?

The solution to x^4+1/2+1/(16x^4) is (16x^8+8x^4+1)/(16x^4)

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simplify x^4+1/2+1/(16x^4)

simplify

x^{4} + \frac{1}{2} + \frac{1}{16 x ^{4}}

\frac{16 x ^{8} + 8 x ^{4} + 1}{16 x ^{4}}

Solution steps

x^{4} + \frac{1}{2} + \frac{1}{16 x ^{4}}

Join

\frac{1}{2} + \frac{1}{16 x ^{4}} : \frac{8 x ^{4} + 1}{16 x ^{4}}

= x^{4} + \frac{8 x ^{4} + 1}{16 x ^{4}}

Apply the fraction rule:

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

= \frac{x ^{4} \cdot 16 x ^{4} + 8 x ^{4} + 1}{16 x ^{4}}

Simplify

x^{4} \cdot 16 x^{4} : 16 x^{8}

= \frac{16 x ^{8} + 8 x ^{4} + 1}{16 x ^{4}}

\frac{4 ^{- 7}}{4 ^{- 10}}

4 x^{2} \times 2

16 x^{14}

- 4 x^{2} - 3 + 4 + 3 - 5 y^{2} + 3 y^{2} - 5 y^{2}

10 \times \frac{1}{8}

What is x^4+1/2+1/(16x^4) ?
The solution to x^4+1/2+1/(16x^4) is (16x^8+8x^4+1)/(16x^4)