en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 6x^3+3x^2-12x

Solution

factor

6 x^{3} + 3 x^{2} - 12 x

Solution

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

Solution steps

6 x^{3} + 3 x^{2} - 12 x

Apply exponent rule:

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

x^{2} = xx

= 6 x^{2} x + 3 xx - 12 x

Rewrite

6

as

3 \cdot 2

Rewrite

12

as

3 \cdot 4

= 3 \cdot 2 x^{2} x + 3 xx - 3 \cdot 4 x

Factor out common term

3 x

= 3 x (2 x^{2} + x - 4)

Popular Examples

simplify (sqrt(-8))(sqrt(-2))simplify

(- 8) (- 2)

simplify 1/3+3/7 simplify

\frac{1}{3} + \frac{3}{7}

factor 6x^2-8x factor

6 x^{2} - 8 x

expand (8x-2)(x^2-7x^4+12x)expand

(8 x - 2) (x^{2} - 7 x^{4} + 12 x)

simplify (15x^2)/(3x)simplify

\frac{15 x ^{2}}{3 x}

Frequently Asked Questions (FAQ)

What is factor 6x^3+3x^2-12x ?
The solution to factor 6x^3+3x^2-12x is 3x(2x^2+x-4)