What is expand ((2x+1)^2)/(16) ?

The solution to expand ((2x+1)^2)/(16) is (x^2)/4+x/4+1/16

Popular >

expand ((2x+1)^2)/(16)

expand

\frac{( 2 x + 1 ) ^{2}}{16}

\frac{x ^{2}}{4} + \frac{x}{4} + \frac{1}{16}

Solution steps

\frac{( 2 x + 1 ) ^{2}}{16}

(2 x + 1)^{2} = 4 x^{2} + 4 x + 1

= \frac{4 x ^{2} + 4 x + 1}{16}

Apply the fraction rule:

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

\frac{4 x ^{2} + 4 x + 1}{16} = \frac{4 x ^{2}}{16} + \frac{4 x}{16} + \frac{1}{16}

= \frac{4 x ^{2}}{16} + \frac{4 x}{16} + \frac{1}{16}

Cancel

\frac{4 x ^{2}}{16} : \frac{x ^{2}}{4}

= \frac{x ^{2}}{4} + \frac{4 x}{16} + \frac{1}{16}

Cancel

\frac{4 x}{16} : \frac{x}{4}

= \frac{x ^{2}}{4} + \frac{x}{4} + \frac{1}{16}

- \frac{n ( - p + 1 - n p )}{p ( - p + 1 )}

- 2 (100)^{2} + 400 (100) - 2000

2 (3 x + 2) (2 x + 3) - (3 x +, 1) (4 x + 3)

\frac{sin ^{2} ( x )}{( cos ( x ) + 1 ) ^{2}}

sin (x (π - \frac{π}{k}))

What is expand ((2x+1)^2)/(16) ?
The solution to expand ((2x+1)^2)/(16) is (x^2)/4+x/4+1/16