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

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

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expand ((1-2y)^2)/2

expand

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

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

Solution steps

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

(1 - 2 y)^{2} = 1 - 4 y + 4 y^{2}

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{4}{2} = 2

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

Rewrite in standard form

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

11 (10 + 3)

(1 - cos (3 x))^{2}

\frac{x + 2}{2 - x - 12} + \frac{x - 1}{2 + 2 x}

t^{2} e^{4 t^{5}} (3 - 20 t^{5} - 40 t^{2})

8 (sin (2 x) - cos (2 x))

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