en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ((2x+9)^2)/4

Solution

expand

\frac{( 2 x + 9 ) ^{2}}{4}

Solution

x^{2} + 9 x + \frac{81}{4}

Solution steps

\frac{( 2 x + 9 ) ^{2}}{4}

(2 x + 9)^{2} = 4 x^{2} + 36 x + 81

= \frac{4 x ^{2} + 36 x + 81}{4}

Apply the fraction rule:

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

\frac{4 x ^{2} + 36 x + 81}{4} = \frac{4 x ^{2}}{4} + \frac{36 x}{4} + \frac{81}{4}

= \frac{4 x ^{2}}{4} + \frac{36 x}{4} + \frac{81}{4}

Divide the numbers:

\frac{4}{4} = 1

= x^{2} + \frac{36 x}{4} + \frac{81}{4}

Divide the numbers:

\frac{36}{4} = 9

= x^{2} + 9 x + \frac{81}{4}

Popular Examples

expand (cos(θ)-x)^2 expand

(cos (θ) - x)^{2}

simplify e^{i((sqrt(3)y*a)/2-(2pi)/3)}simplify

e^{i (\frac{3 y \cdot a}{2} - \frac{2 π}{3})}

expand derivative of (x+1ln(x))-x+1 expand

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

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

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

simplify (-4+(6i)/n)^2 simplify

(- 4 + \frac{6 i}{n})^{2}

Frequently Asked Questions (FAQ)

What is expand ((2x+9)^2)/4 ?
The solution to expand ((2x+9)^2)/4 is x^2+9x+81/4