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

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

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factor x^5y+2x^4y^2+x^3y^3

factor

x^{5} y + 2 x^{4} y^{2} + x^{3} y^{3}

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

Solution steps

x^{5} y + 2 x^{4} y^{2} + x^{3} y^{3}

Factor out common term

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

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

Factor

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

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

Apply exponent rule:

aa = a^{2}

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

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

17 - (2 w + 3) + 7 (10 - w)

\frac{x ^{8} + 8 x ^{5}}{x ^{4}}

\frac{13}{3 + 11}

\frac{6 a}{3 a - 2} - \frac{4}{3 a - 2}

(2 a - z)^{4}

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