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

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

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

factor

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

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

Solution steps

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

Apply exponent rule:

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

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

= x x^{2} y^{2} + x y^{2} y + 2 xx y^{2} y

Factor out common term

x y^{2}

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

t^{3} + t^{2} - 5 t + 3

∣ 5 - 2 ∣

(5^{- 1})^{- 2}

2 \frac{1}{2} + 1 \frac{1}{8}

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