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

The solution to factor x^3y^2+x^2y+x^2y^3+xy^2 is xy(xy+1)(x+y)

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

factor

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

x y (x y + 1) (x + y)

Solution steps

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

Factor out common term

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

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

Factor

x^{2} y + x + x y^{2} + y : (x y + 1) (x + y)

= x y (x y + 1) (x + y)

\frac{\frac{1}{x} - \frac{1}{3}}{x - 3}

(1 - u^{2})^{3}

x^{\frac{1}{3}} \cdot x^{\frac{1}{3}} \cdot x^{\frac{1}{3}}

\frac{( 7 x ^{4} + 54 x ^{3} - 71 x ^{2} + 77 x - 117 )}{( x + 9 )}

\frac{\frac{3 x - 3}{28}}{\frac{x - 1}{7}}

What is factor x^3y^2+x^2y+x^2y^3+xy^2 ?
The solution to factor x^3y^2+x^2y+x^2y^3+xy^2 is xy(xy+1)(x+y)