What is factor 2x^3y-x^2y+5xy^2+xy^3 ?

The solution to factor 2x^3y-x^2y+5xy^2+xy^3 is xy(2x^2-x+5y+y^2)

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factor 2x^3y-x^2y+5xy^2+xy^3

factor

2 x^{3} y - x^{2} y + 5 x y^{2} + x y^{3}

x y (2 x^{2} - x + 5 y + y^{2})

Solution steps

2 x^{3} y - x^{2} y + 5 x y^{2} + x y^{3}

Apply exponent rule:

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

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

= 2 xxx y - xx y + 5 x yy + x y y^{2}

Factor out common term

x y

= x y (2 x^{2} - x + 5 y + y^{2})

\frac{16 !}{( 16 - 6 ) ! 6 !} 0. 5^{6} 0. 5^{16 - 6}

- 4 x^{2} + 17 x - 4 = 0

y^{2} - 14 y + 33

3 - 2 (x + 3) = \frac{x}{3} - 5

9 a^{2} - 30 = 3 a

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