What is factor 18x^4+12x^3-6x ?

The solution to factor 18x^4+12x^3-6x is 6x(3x^3+2x^2-1)

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factor 18x^4+12x^3-6x

factor

18 x^{4} + 12 x^{3} - 6 x

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

Solution steps

18 x^{4} + 12 x^{3} - 6 x

Apply exponent rule:

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

x^{3} = x^{2} x

= 18 x^{3} x + 12 x^{2} x - 6 x

Rewrite

18

6 \cdot 3

Rewrite

12

6 \cdot 2

= 6 \cdot 3 x^{3} x + 6 \cdot 2 x^{2} x - 6 \cdot 1 \cdot x

Factor out common term

6 x

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

12 x + 4 [6 - (3 x + 2)]

224 \cdot \frac{5}{4}

\frac{6}{3} + \frac{2}{5} + \frac{6}{4}

\frac{135}{360} (π (16)^{2})

2 \cdot 4

What is factor 18x^4+12x^3-6x ?
The solution to factor 18x^4+12x^3-6x is 6x(3x^3+2x^2-1)