What is expand ((12-3x)^2)/2 ?

The solution to expand ((12-3x)^2)/2 is (9x^2)/2-36x+72

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expand ((12-3x)^2)/2

expand

\frac{( 12 - 3 x ) ^{2}}{2}

\frac{9 x ^{2}}{2} - 36 x + 72

Solution steps

\frac{( 12 - 3 x ) ^{2}}{2}

(12 - 3 x)^{2} = 144 - 72 x + 9 x^{2}

= \frac{144 - 72 x + 9 x ^{2}}{2}

Apply the fraction rule:

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

\frac{144 - 72 x + 9 x ^{2}}{2} = \frac{144}{2} - \frac{72 x}{2} + \frac{9 x ^{2}}{2}

= \frac{144}{2} - \frac{72 x}{2} + \frac{9 x ^{2}}{2}

Divide the numbers:

\frac{144}{2} = 72

= 72 - \frac{72 x}{2} + \frac{9 x ^{2}}{2}

Divide the numbers:

\frac{72}{2} = 36

= 72 - 36 x + \frac{9 x ^{2}}{2}

Rewrite in standard form

= \frac{9 x ^{2}}{2} - 36 x + 72

x (x^{2} y = 4 + y)

\frac{3 ( p + q )}{p - q}

(0, 4) y (6, - 2)

\frac{x + 1}{x ^{2} ( x + 2 ) ^{3}}

\frac{1}{s ( s + 15 ) + 50}

What is expand ((12-3x)^2)/2 ?
The solution to expand ((12-3x)^2)/2 is (9x^2)/2-36x+72