en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2-1/2 x)^2

Solution

simplify

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

Solution

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

Solution steps

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

\frac{1}{2} x = \frac{x}{2}

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

Apply Perfect Square Formula:

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

a = 2, b = \frac{x}{2}

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

Simplify

2^{2} - 2 \cdot 2 \cdot \frac{x}{2} + (\frac{x}{2})^{2} : 4 - 2 x + \frac{x ^{2}}{4}

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

Rewrite in standard form

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

Popular Examples

simplify (-15-13i)(-15+13i)simplify

(- 15 - 13 i) (- 15 + 13 i)

7 \frac{1}{4}

expand (5x+2)(5x-2)expand

(5 x + 2) (5 x - 2)

simplify 8-4(-x+5)simplify

8 - 4 (- x + 5)

expand (x+6)(x+1)(x+4)expand

(x + 6) (x + 1) (x + 4)

Frequently Asked Questions (FAQ)

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