What is factor 2x^2y^4-6x^5y^3+8x^3y ?

The solution to factor 2x^2y^4-6x^5y^3+8x^3y is 2x^2y(y^3-3x^3y^2+4x)

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factor 2x^2y^4-6x^5y^3+8x^3y

factor

2 x^{2} y^{4} - 6 x^{5} y^{3} + 8 x^{3} y

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

Solution steps

2 x^{2} y^{4} - 6 x^{5} y^{3} + 8 x^{3} y

Apply exponent rule:

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

x^{2} y^{4} = x^{2} y y^{3}, x^{5} y^{3} = x^{2} x^{3} y y^{2}, x^{3} y = x^{2} x y

= 2 x^{2} y y^{3} - 6 x^{2} x^{2} x y y^{2} + 8 x^{2} x y

Rewrite

8

4 \cdot 2

Rewrite

- 6

3 \cdot 2

= 2 x^{2} y y^{3} + 3 \cdot 2 x^{2} x^{2} x y y^{2} + 4 \cdot 2 x^{2} x y

Factor out common term

2 x^{2} y

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

25 6^{\frac{4}{3}}

5 x^{2} - 11 x - 39 = 3

4 y^{2} - 28 y - 72

- 8 + 4 \div 2 + 5

x y - 2 x + 4 y - 8

What is factor 2x^2y^4-6x^5y^3+8x^3y ?
The solution to factor 2x^2y^4-6x^5y^3+8x^3y is 2x^2y(y^3-3x^3y^2+4x)