What is factor 48x-24x^2+3x^3 ?

The solution to factor 48x-24x^2+3x^3 is 3x(x-4)^2

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factor 48x-24x^2+3x^3

factor

48 x - 24 x^{2} + 3 x^{3}

3 x (x - 4)^{2}

Solution steps

48 x - 24 x^{2} + 3 x^{3}

Write in the standard form

= 3 x^{3} - 24 x^{2} + 48 x

Factor out common term

3 x : 3 x (x^{2} - 8 x + 16)

= 3 x (x^{2} - 8 x + 16)

Factor

x^{2} - 8 x + 16 : (x - 4) (x - 4)

= 3 x (x - 4) (x - 4)

Apply exponent rule:

aa = a^{2}

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

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

- \frac{10 ( - 1 ) + 3}{( 5 ( - 1 ) ^{2} + 3 ( - 1 ) ) ^{2}}

0.25 x^{2} - x + 1.5 = 0

6 + \frac{1}{6}

- x^{2} - 3 = 0

(\frac{6}{7})^{- 1}

What is factor 48x-24x^2+3x^3 ?
The solution to factor 48x-24x^2+3x^3 is 3x(x-4)^2