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Popular >

expand ((x+6)^2)/4

Solution

expand

\frac{( x + 6 ) ^{2}}{4}

Solution

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

Solution steps

\frac{( x + 6 ) ^{2}}{4}

(x + 6)^{2} = x^{2} + 12 x + 36

= \frac{x ^{2} + 12 x + 36}{4}

Apply the fraction rule:

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

\frac{x ^{2} + 12 x + 36}{4} = \frac{x ^{2}}{4} + \frac{12 x}{4} + \frac{36}{4}

= \frac{x ^{2}}{4} + \frac{12 x}{4} + \frac{36}{4}

Divide the numbers:

\frac{12}{4} = 3

= \frac{x ^{2}}{4} + 3 x + \frac{36}{4}

Divide the numbers:

\frac{36}{4} = 9

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

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Frequently Asked Questions (FAQ)

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