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

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

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expand 1/2 (x-1)^2

expand

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

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

Solution steps

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

Expand

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

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

Apply the distributive law:

m (a + b + c) = ma + mb + m c

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

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

Simplify

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

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

\frac{d ^{2}}{d x ^{2}} ((y) (y^{3} - x y))

(5 e^{5 t} - e^{- t}) \cdot (25 e^{5 t} + e^{- t})

(35 y - 4)^{2}

se x (csc (x) + sin (x)) + cos (x) (sec (x) + cos (x)) + 1

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

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