What is x*(x-1/2)*(x-1) ?

The solution to x*(x-1/2)*(x-1) is (x(2x-1)(x-1))/2

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

simplify

x \cdot (x - \frac{1}{2}) \cdot (x - 1)

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

Solution steps

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

Simplify

x - \frac{1}{2} : \frac{2 x - 1}{2}

= x \frac{2 x - 1}{2} (x - 1)

Apply the fraction rule:

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

= \frac{x ( 2 x - 1 ) ( x - 1 )}{2}

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

(2 - 1) (25 + 3)

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

(1 - u_{2 π} (t)) sin (t)

(2 x - 3 y^{2}) (y^{2} - 3 z) (x^{\frac{11}{3}} - \frac{1}{y ^{\frac{1}{2}}})