What is factor x^3-4x^2y+4xy^2 ?

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

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factor x^3-4x^2y+4xy^2

factor

x^{3} - 4 x^{2} y + 4 x y^{2}

x (x - 2 y)^{2}

Solution steps

x^{3} - 4 x^{2} y + 4 x y^{2}

Factor out common term

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

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

Factor

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

= x (x - 2 y) (x - 2 y)

Apply exponent rule:

aa = a^{2}

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

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

0.0000005 \cdot 5^{10} = x

x^{2} - 5 x + 4 < 0

5 x^{2} + 14 x + 8

135 \cdot \frac{1}{1000}

\frac{1}{3} \cdot \frac{20}{9}

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