What is expand ((3+2x)^2)/2 ?

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

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expand ((3+2x)^2)/2

expand

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

2 x^{2} + 6 x + \frac{9}{2}

Solution steps

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

(3 + 2 x)^{2} = 9 + 12 x + 4 x^{2}

= \frac{9 + 12 x + 4 x ^{2}}{2}

Apply the fraction rule:

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

\frac{9 + 12 x + 4 x ^{2}}{2} = \frac{9}{2} + \frac{12 x}{2} + \frac{4 x ^{2}}{2}

= \frac{9}{2} + \frac{12 x}{2} + \frac{4 x ^{2}}{2}

Divide the numbers:

\frac{12}{2} = 6

= \frac{9}{2} + 6 x + \frac{4 x ^{2}}{2}

Divide the numbers:

\frac{4}{2} = 2

= \frac{9}{2} + 6 x + 2 x^{2}

Rewrite in standard form

= 2 x^{2} + 6 x + \frac{9}{2}

\frac{( x + 4 )}{( x + 2 ) ^{2}}

\frac{( s + 5 ) ( s + 8 ) ( s + 10 ) ( s + 15 )}{( s + 20 )}

(y^{2} + 2 x^{2}) d x

\frac{( x ^{4} - 2 x ^{3} + 3 )}{( x - 1 ) m e t o d o}

\frac{2 ( 328 \cdot 8 2 ^{\frac{1}{2}} - 83 \cdot 16 6 ^{\frac{1}{2}} )}{243}

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