What is factor 4x^3y^2+18xy^3-30x^2y ?

The solution to factor 4x^3y^2+18xy^3-30x^2y is 2xy(2x^2y+9y^2-15x)

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factor 4x^3y^2+18xy^3-30x^2y

factor

4 x^{3} y^{2} + 18 x y^{3} - 30 x^{2} y

2 x y (2 x^{2} y + 9 y^{2} - 15 x)

Solution steps

4 x^{3} y^{2} + 18 x y^{3} - 30 x^{2} y

Apply exponent rule:

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

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

= 4 xxx yy + 18 x y y^{2} - 30 xx y

Rewrite

- 30

15 \cdot 2

Rewrite

18

9 \cdot 2

= 2 \cdot 2 xxx yy + 9 \cdot 2 x y y^{2} + 15 \cdot 2 xx y

Factor out common term

2 x y

= 2 x y (2 x^{2} y + 9 y^{2} - 15 x)

(- x^{2} - 4 x - 5) + (- x^{2} + 8 x + 8)

(4 x^{2} - 8 x - 2) (x^{4} + 3 x^{2} + 4 x)

x^{3} + x^{3}

(x + 4) (x - 5)

(z - 3)^{3}

What is factor 4x^3y^2+18xy^3-30x^2y ?
The solution to factor 4x^3y^2+18xy^3-30x^2y is 2xy(2x^2y+9y^2-15x)