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

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

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

expand

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

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

Solution steps

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

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

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{36}{4} = 9

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

Divide the numbers:

\frac{12}{4} = 3

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

Rewrite in standard form

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

3 (3 - x^{2}) d x

\frac{( 25 - yc ) ^{2}}{2}

3 \cdot 8

\frac{1}{( s ) ( 2 s + 1 )}

D x y (x^{2} + y^{2} = 25)