What is expand ((3-w)^2)/2 ?

The solution to expand ((3-w)^2)/2 is (w^2)/2-3w+9/2

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expand ((3-w)^2)/2

expand

\frac{( 3 - w ) ^{2}}{2}

\frac{w ^{2}}{2} - 3 w + \frac{9}{2}

Solution steps

\frac{( 3 - w ) ^{2}}{2}

(3 - w)^{2} = 9 - 6 w + w^{2}

= \frac{9 - 6 w + w ^{2}}{2}

Apply the fraction rule:

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

\frac{9 - 6 w + w ^{2}}{2} = \frac{9}{2} - \frac{6 w}{2} + \frac{w ^{2}}{2}

= \frac{9}{2} - \frac{6 w}{2} + \frac{w ^{2}}{2}

Divide the numbers:

\frac{6}{2} = 3

= \frac{9}{2} - 3 w + \frac{w ^{2}}{2}

Rewrite in standard form

= \frac{w ^{2}}{2} - 3 w + \frac{9}{2}

(y_{5})^{2}

\frac{( ( n - 1 ) \cdot ( n ^{3} - n ^{2} - 14 \cdot n + 12 ) )}{12}

\frac{2}{3} (\frac{e ^{u} x ^{2}}{2} + c)

\frac{2}{3} x^{3}

(x - \frac{6}{x})^{7}

What is expand ((3-w)^2)/2 ?
The solution to expand ((3-w)^2)/2 is (w^2)/2-3w+9/2