en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3x-9)/(x^2-6x+9)

Solution

simplify

\frac{3 x - 9}{x ^{2} - 6 x + 9}

Solution

\frac{3}{x - 3}

Solution steps

\frac{3 x - 9}{x ^{2} - 6 x + 9}

Factor

3 x - 9 : 3 (x - 3)

= \frac{3 ( x - 3 )}{x ^{2} - 6 x + 9}

Factor

x^{2} - 6 x + 9 : (x - 3)^{2}

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

Apply exponent rule:

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

(x - 3)^{2} = (x - 3) (x - 3)

= \frac{3 ( x - 3 )}{( x - 3 ) ( x - 3 )}

Cancel the common factor:

x - 3

= \frac{3}{x - 3}

Popular Examples

simplify (3-2.5)/(3+1 1/3)simplify

\frac{3 - 2.5}{3 + 1 \frac{1}{3}}

expand (a^3-2a^2+4)(a^3-3a)expand

(a^{3} - 2 a^{2} + 4) (a^{3} - 3 a)

simplify (18x^7)/(9x^6)simplify

\frac{18 x ^{7}}{9 x ^{6}}

factor x^5y+2x^4y^2+x^3y^3 factor

x^{5} y + 2 x^{4} y^{2} + x^{3} y^{3}

simplify 17-(2w+3)+7(10-w)simplify

17 - (2 w + 3) + 7 (10 - w)

Frequently Asked Questions (FAQ)

What is (3x-9)/(x^2-6x+9) ?
The solution to (3x-9)/(x^2-6x+9) is 3/(x-3)