What is expand ((1-2θ)^2)/2 ?

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

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expand ((1-2θ)^2)/2

expand

\frac{( 1 - 2 θ ) ^{2}}{2}

2 θ^{2} - 2 θ + \frac{1}{2}

Solution steps

\frac{( 1 - 2 θ ) ^{2}}{2}

(1 - 2 θ)^{2} = 1 - 4 θ + 4 θ^{2}

= \frac{1 - 4 θ + 4 θ ^{2}}{2}

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{4}{2} = 2

= \frac{1}{2} - 2 θ + 2 θ^{2}

Rewrite in standard form

= 2 θ^{2} - 2 θ + \frac{1}{2}

2 (x + (- 2.3))

2 sin (t - 3) H (t - 3) d t

\frac{6 x}{( x - 1 ) ^{2}}

x y d x + e^{- x^{2}} (y^{2} - 1)

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