What is factor 125xy^3+20x^3y+100x^2y^2 ?

The solution to factor 125xy^3+20x^3y+100x^2y^2 is 5xy(2x+5y)^2

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factor 125xy^3+20x^3y+100x^2y^2

factor

125 x y^{3} + 20 x^{3} y + 100 x^{2} y^{2}

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

Solution steps

125 x y^{3} + 20 x^{3} y + 100 x^{2} y^{2}

Factor out common term

5 x y : 5 x y (25 y^{2} + 4 x^{2} + 20 x y)

= 5 x y (25 y^{2} + 4 x^{2} + 20 x y)

Factor

25 y^{2} + 4 x^{2} + 20 x y : (2 x + 5 y) (2 x + 5 y)

= 5 x y (2 x + 5 y) (2 x + 5 y)

Apply exponent rule:

aa = a^{2}

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

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

8 u - 21 = 2 u - 9

- \frac{5 π}{4} \cdot \frac{180}{π}

2 y - 5 = 4 y

x^{2} + 4 x + 4 = 18

5 d^{2} = 80

What is factor 125xy^3+20x^3y+100x^2y^2 ?
The solution to factor 125xy^3+20x^3y+100x^2y^2 is 5xy(2x+5y)^2