What is (x^4)/4+1/(8x^2) ?

The solution to (x^4)/4+1/(8x^2) is (2x^6+1)/(8x^2)

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simplify (x^4)/4+1/(8x^2)

simplify

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

\frac{2 x ^{6} + 1}{8 x ^{2}}

Solution steps

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

Least Common Multiplier of

4, 8 x^{2} : 8 x^{2}

Adjust Fractions based on the LCM

= \frac{2 x ^{6}}{8 x ^{2}} + \frac{1}{8 x ^{2}}

Apply the fraction rule:

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

= \frac{2 x ^{6} + 1}{8 x ^{2}}

\frac{d}{d x} ((x^{2} - x + 1)^{- 7})

\int e^{- 3 x} sin (3 x) d x

\frac{\partial}{\partial y} (sin (x - y))

\frac{d}{d x} (2 x^{2} - 4 x + 6)

y = - 3 - 2 e^{x}