en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (4x-8)/(x^2-4x+4)

Solution

simplify

\frac{4 x - 8}{x ^{2} - 4 x + 4}

Solution

\frac{4}{x - 2}

Solution steps

\frac{4 x - 8}{x ^{2} - 4 x + 4}

Factor

4 x - 8 : 4 (x - 2)

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

Factor

x^{2} - 4 x + 4 : (x - 2)^{2}

= \frac{4 ( x - 2 )}{( x - 2 ) ^{2}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

= \frac{4 ( x - 2 )}{( x - 2 ) ( x - 2 )}

Cancel the common factor:

x - 2

= \frac{4}{x - 2}

Popular Examples

factor 5x-30 factor

5 x - 30

factor y^3+343 factor

y^{3} + 343

simplify sqrt(17^2+8^2)simplify

1 7^{2} + 8^{2}

simplify ((2j^3p)^{-1})/(10j^6)simplify

\frac{( 2 j ^{3} p ) ^{- 1}}{10 j ^{6}}

simplify 2/2+2/3 simplify

\frac{2}{2} + \frac{2}{3}

Frequently Asked Questions (FAQ)

What is (4x-8)/(x^2-4x+4) ?
The solution to (4x-8)/(x^2-4x+4) is 4/(x-2)