en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x-9/2)^2

Solution

expand

(x - \frac{9}{2})^{2}

Solution

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

Solution steps

(x - \frac{9}{2})^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(x - \frac{9}{2})^{2} = x^{2} - 2 x \frac{9}{2} + (\frac{9}{2})^{2}

= x^{2} - 2 x \frac{9}{2} + (\frac{9}{2})^{2}

Simplify

x^{2} - 2 x \frac{9}{2} + (\frac{9}{2})^{2} : \frac{4 x ^{2} - 36 x + 81}{4}

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

Popular Examples

expand (1-2x^{1/3})^3 expand

(1 - 2 x^{\frac{1}{3}})^{3}

expand 2(e^2-1)expand

2 (e^{2} - 1)

expand ydx-2(x+y)dy expand

y d x - 2 (x + y) d y

expand ((3x-2)^2)/2 expand

\frac{( 3 x - 2 ) ^{2}}{2}

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

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

Frequently Asked Questions (FAQ)

What is expand (x-9/2)^2 ?
The solution to expand (x-9/2)^2 is (4x^2-36x+81)/4