What is factor 10x^2y^3+15x^2y^2-5xy ?

The solution to factor 10x^2y^3+15x^2y^2-5xy is 5xy(2xy^2+3xy-1)

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factor 10x^2y^3+15x^2y^2-5xy

factor

10 x^{2} y^{3} + 15 x^{2} y^{2} - 5 x y

5 x y (2 x y^{2} + 3 x y - 1)

Solution steps

10 x^{2} y^{3} + 15 x^{2} y^{2} - 5 x y

Apply exponent rule:

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

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

= 10 xx y y^{2} + 15 xx yy - 5 x y

Rewrite

15

3 \cdot 5

Rewrite

10

2 \cdot 5

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

Factor out common term

5 x y

= 5 x y (2 x y^{2} + 3 x y - 1)

2 \div \frac{3}{8}

- \frac{14}{3}

5 x^{2} (2 x^{2} + 13 x - 5)

(5 (a + 2)^{0} b^{- 6})^{- 1}

- 8 x - 8 x

What is factor 10x^2y^3+15x^2y^2-5xy ?
The solution to factor 10x^2y^3+15x^2y^2-5xy is 5xy(2xy^2+3xy-1)