What is factor 15x^2y^2-10xy^3+20xy^2 ?

The solution to factor 15x^2y^2-10xy^3+20xy^2 is 5xy^2(3x-2y+4)

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factor 15x^2y^2-10xy^3+20xy^2

factor

15 x^{2} y^{2} - 10 x y^{3} + 20 x y^{2}

5 x y^{2} (3 x - 2 y + 4)

Solution steps

15 x^{2} y^{2} - 10 x y^{3} + 20 x y^{2}

Apply exponent rule:

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

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

= 15 xx y^{2} - 10 x y^{2} y + 20 x y^{2}

Rewrite

20

4 \cdot 5

Rewrite

- 10

2 \cdot 5

= 3 \cdot 5 xx y^{2} + 2 \cdot 5 x y^{2} y + 4 \cdot 5 x y^{2}

Factor out common term

5 x y^{2}

= 5 x y^{2} (3 x - 2 y + 4)

7 y + 2 x - 10 y + 3 x^{2} - 10 x

4 n + 3 (n - 5) + 2

(2 + 3 i) (4 + i)

\frac{44}{6}

(z + 6) + 6

What is factor 15x^2y^2-10xy^3+20xy^2 ?
The solution to factor 15x^2y^2-10xy^3+20xy^2 is 5xy^2(3x-2y+4)