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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

x^{2} - x - 1

Solution steps

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

Factor

3 x^{3} - 3 - 6 x : 3 (x + 1) (x^{2} - x - 1)

= \frac{3 ( x + 1 ) ( x ^{2} - x - 1 )}{3 + 3 x}

Factor

3 + 3 x : 3 (1 + x)

= \frac{3 ( x + 1 ) ( x ^{2} - x - 1 )}{3 ( 1 + x )}

Cancel the common factor:

3

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

Apply the commutative law:

1 + x = x + 1

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

Cancel the common factor:

x + 1

= x^{2} - x - 1

7 a + (- 8 b + (- 15 a + 9 b + (- 4 c + 8)))

(x^{3} - 1 - x^{2}) (x^{2} + x^{3} + 1)

- 7 (w - 4) + 3 w - 27

6 (x + 1) - 5 (x + 2)

\frac{x ^{6} - 1}{x - 1}

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