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

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

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

factor

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

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

Solution steps

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

Factor out common term

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

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

Factor

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

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

Apply exponent rule:

aa = a^{2}

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

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

6 y - 9 + 2 y - 5 = - 8 y + 17 + 4 y

lo g_{2}^{2} (x) - 3 lo g_{2} (x) + 2 \geq 0

500 a^{3} + 4

x^{2} - 9 x + 20 > 0

y^{3} - 1

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