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

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

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simplify x(x^2-2x+1/2)

simplify

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

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

Solution steps

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

Simplify

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

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

Apply the fraction rule:

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

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

(\frac{x}{6} + 1)^{4}

- 3 (8 x^{2} - 8 x + 1) (2 x - 1)^{3} (x^{2} - x)^{\frac{1}{2}}

- 2 x (2 x + 5 y)

e^{t^{2} - t} (4 t - 2)

\frac{d}{d t} ((x) (x - y + z + t - 1))