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

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

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

expand

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

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

Solution steps

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

Expand

x (- x + 1) : - x^{2} + x

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

Join

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

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

\frac{32768 x ^{7} ( 2 x ^{8} - 1 )}{2 x - 1}

(1)^{2} + (2 t)^{2} + (3 t^{2})^{2}

5 (csc (x) - \frac{1}{x})

(x - 3) (x + 0.5) (x - \frac{1}{3})

- \frac{1}{( 3 ) ( 1 - ln ( 3 ) )}

What is expand x(-x+1)+((x^2-2x+1))/2 ?
The solution to expand x(-x+1)+((x^2-2x+1))/2 is (-x^2+1)/2