What is factor 8x^3y-32x^2y+32xy ?

The solution to factor 8x^3y-32x^2y+32xy is 8xy(x-2)^2

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factor 8x^3y-32x^2y+32xy

factor

8 x^{3} y - 32 x^{2} y + 32 x y

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

Solution steps

8 x^{3} y - 32 x^{2} y + 32 x y

Factor out common term

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

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

Factor

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

= 8 x y (x - 2) (x - 2)

Apply exponent rule:

aa = a^{2}

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

= 8 x y (x - 2)^{2}

x^{4} + 31 x^{2} y^{2} + 400 y^{4}

- 10 m^{5} n^{6} x^{4} y^{7} - 12 m^{5} n^{6} x^{7} y^{4}

4^{x} + 2 \cdot 2^{x} - 80

(\frac{240 m}{0.54}) + 2

8 x y - 24 y + 16 x

What is factor 8x^3y-32x^2y+32xy ?
The solution to factor 8x^3y-32x^2y+32xy is 8xy(x-2)^2