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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

(4 x + 1)^{2} = 16 x^{2} + 8 x + 1

= \frac{16 x ^{2} + 8 x + 1}{4}

Apply the fraction rule:

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

\frac{16 x ^{2} + 8 x + 1}{4} = \frac{16 x ^{2}}{4} + \frac{8 x}{4} + \frac{1}{4}

= \frac{16 x ^{2}}{4} + \frac{8 x}{4} + \frac{1}{4}

Divide the numbers:

\frac{16}{4} = 4

= 4 x^{2} + \frac{8 x}{4} + \frac{1}{4}

Divide the numbers:

\frac{8}{4} = 2

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

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Frequently Asked Questions (FAQ)

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