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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

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

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{4}{2} = 2

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

Divide the numbers:

\frac{12}{2} = 6

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

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Frequently Asked Questions (FAQ)

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