What is factor 6x^4y-4x^2y^2+2x^2y^3 ?

The solution to factor 6x^4y-4x^2y^2+2x^2y^3 is 2x^2y(3x^2-2y+y^2)

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factor 6x^4y-4x^2y^2+2x^2y^3

factor

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

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

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{4} y = x^{2} x^{2} y, x^{2} y^{2} = x^{2} yy, x^{2} y^{3} = x^{2} y y^{2}

= 6 x^{2} x^{2} y - 4 x^{2} yy + 2 x^{2} y y^{2}

Rewrite

- 4

2 \cdot 2

Rewrite

6

3 \cdot 2

= 3 \cdot 2 x^{2} x^{2} y + 2 \cdot 2 x^{2} yy + 2 x^{2} y y^{2}

Factor out common term

2 x^{2} y

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

x^{2} - 4 = - 2 x + 4

∣ x + 6 ∣ \geq 5

3 n + 14 = - 4

5 + 2 r = 9

- 1 + 2

What is factor 6x^4y-4x^2y^2+2x^2y^3 ?
The solution to factor 6x^4y-4x^2y^2+2x^2y^3 is 2x^2y(3x^2-2y+y^2)