What is (-3x-21)/(x^3+343) ?

The solution to (-3x-21)/(x^3+343) is -3/(x^2-7x+49)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-3x-21)/(x^3+343)

simplify

\frac{- 3 x - 21}{x ^{3} + 343}

- \frac{3}{x ^{2} - 7 x + 49}

Solution steps

\frac{- 3 x - 21}{x ^{3} + 343}

Factor

- 3 x - 21 : - 3 (x + 7)

= \frac{- 3 ( x + 7 )}{x ^{3} + 343}

Factor

x^{3} + 343 : (x + 7) (x^{2} - 7 x + 49)

= \frac{- 3 ( x + 7 )}{( x + 7 ) ( x ^{2} - 7 x + 49 )}

Cancel the common factor:

x + 7

= \frac{- 3}{x ^{2} - 7 x + 49}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{3}{x ^{2} - 7 x + 49}

9 + 14

(5 m n^{3})^{3}

0.88

24 \frac{7}{9}

e^{2 \cdot l n (3)}

What is (-3x-21)/(x^3+343) ?
The solution to (-3x-21)/(x^3+343) is -3/(x^2-7x+49)