What is expand ((6-3x)^2)/4 ?

The solution to expand ((6-3x)^2)/4 is (9x^2)/4-9x+9

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expand ((6-3x)^2)/4

expand

\frac{( 6 - 3 x ) ^{2}}{4}

\frac{9 x ^{2}}{4} - 9 x + 9

Solution steps

\frac{( 6 - 3 x ) ^{2}}{4}

(6 - 3 x)^{2} = 36 - 36 x + 9 x^{2}

= \frac{36 - 36 x + 9 x ^{2}}{4}

Apply the fraction rule:

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

\frac{36 - 36 x + 9 x ^{2}}{4} = \frac{36}{4} - \frac{36 x}{4} + \frac{9 x ^{2}}{4}

= \frac{36}{4} - \frac{36 x}{4} + \frac{9 x ^{2}}{4}

Divide the numbers:

\frac{36}{4} = 9

= 9 - 9 x + \frac{9 x ^{2}}{4}

Rewrite in standard form

= \frac{9 x ^{2}}{4} - 9 x + 9

\frac{s - 1}{( s + 2 ) ( s ^{2} + 4 )}

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

(1 + i x)^{2}

(2 e^{x^{2}} + x^{2})^{3}

(1 + x + x^{2})^{8}

What is expand ((6-3x)^2)/4 ?
The solution to expand ((6-3x)^2)/4 is (9x^2)/4-9x+9