What is (x^2-9)/(x^2+6x+9)*(3x+9)/(3x-9) ?

The solution to (x^2-9)/(x^2+6x+9)*(3x+9)/(3x-9) is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

1

Solution steps

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

Cancel

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

= \frac{x - 3}{x + 3} \cdot \frac{3 x + 9}{3 x - 9}

Cancel

\frac{3 x + 9}{3 x - 9} : \frac{x + 3}{x - 3}

= \frac{x - 3}{x + 3} \cdot \frac{x + 3}{x - 3}

Cross cancel:

\frac{a}{b} \cdot \frac{b}{a} = 1

= 1

lo g_{3} (3 \frac{1}{2})

a + a + a + a

\frac{1}{- \frac{2}{3}}

(f + g) (3)

\frac{5 x}{x - 6} + \frac{1}{6 - x}

What is (x^2-9)/(x^2+6x+9)*(3x+9)/(3x-9) ?
The solution to (x^2-9)/(x^2+6x+9)*(3x+9)/(3x-9) is 1