What is expand ((1+x)^2)/4 ?

The solution to expand ((1+x)^2)/4 is (x^2)/4+x/2+1/4

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expand ((1+x)^2)/4

expand

\frac{( 1 + x ) ^{2}}{4}

\frac{x ^{2}}{4} + \frac{x}{2} + \frac{1}{4}

Solution steps

\frac{( 1 + x ) ^{2}}{4}

(1 + x)^{2} = 1 + 2 x + x^{2}

= \frac{1 + 2 x + x ^{2}}{4}

Apply the fraction rule:

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

\frac{1 + 2 x + x ^{2}}{4} = \frac{1}{4} + \frac{2 x}{4} + \frac{x ^{2}}{4}

= \frac{1}{4} + \frac{2 x}{4} + \frac{x ^{2}}{4}

Cancel

\frac{2 x}{4} : \frac{x}{2}

= \frac{1}{4} + \frac{x}{2} + \frac{x ^{2}}{4}

Rewrite in standard form

= \frac{x ^{2}}{4} + \frac{x}{2} + \frac{1}{4}

12 (\frac{X - 7}{4} + \frac{25 ( X - 2 )}{3} = \frac{5 X + 35}{4} + \frac{5}{2} (X - 7))

f (x) (\frac{2 ( x - 1 )}{3} + \frac{3 ( 2 x + 1 )}{9} = 9)

- \frac{1}{x ( x + 1 )}

(3 x - y^{2} + 1) d x

V (- 4, - 3) \cdot P (- 7, - 6)

What is expand ((1+x)^2)/4 ?
The solution to expand ((1+x)^2)/4 is (x^2)/4+x/2+1/4