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Popular >

expand ((2x+3)^2)/4

Solution

expand

\frac{( 2 x + 3 ) ^{2}}{4}

Solution

x^{2} + 3 x + \frac{9}{4}

Solution steps

\frac{( 2 x + 3 ) ^{2}}{4}

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

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{4}{4} = 1

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

Divide the numbers:

\frac{12}{4} = 3

= x^{2} + 3 x + \frac{9}{4}

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Frequently Asked Questions (FAQ)

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