What is factor 2x^3+12x^2+18x ?

The solution to factor 2x^3+12x^2+18x is 2x(x+3)^2

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factor 2x^3+12x^2+18x

factor

2 x^{3} + 12 x^{2} + 18 x

2 x (x + 3)^{2}

Solution steps

2 x^{3} + 12 x^{2} + 18 x

Factor out common term

2 x : 2 x (x^{2} + 6 x + 9)

= 2 x (x^{2} + 6 x + 9)

Factor

x^{2} + 6 x + 9 : (x + 3) (x + 3)

= 2 x (x + 3) (x + 3)

Apply exponent rule:

aa = a^{2}

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

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

+ \frac{x}{x ^{2} y ^{4} y ^{- 4}}

\frac{x ^{2} + 8 x + 15}{x ^{2} + 5 x + 6}

\frac{200}{1000}

(x - 9) (x^{2} + x + 2)

- 2 \times 12

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