What is factor 4x^3+24x^2+36x ?

The solution to factor 4x^3+24x^2+36x is 4x(x+3)^2

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factor 4x^3+24x^2+36x

factor

4 x^{3} + 24 x^{2} + 36 x

4 x (x + 3)^{2}

Solution steps

4 x^{3} + 24 x^{2} + 36 x

Factor out common term

4 x : 4 x (x^{2} + 6 x + 9)

= 4 x (x^{2} + 6 x + 9)

Factor

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

= 4 x (x + 3) (x + 3)

Apply exponent rule:

aa = a^{2}

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

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

\frac{5}{2} \times \frac{2}{5}

\frac{20}{31} \cdot \frac{65}{109}

10 x + 8

\frac{4}{50}

What is factor 4x^3+24x^2+36x ?
The solution to factor 4x^3+24x^2+36x is 4x(x+3)^2