What is factor 10x^2y-15xy^2+25xy ?

The solution to factor 10x^2y-15xy^2+25xy is 5xy(2x-3y+5)

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factor 10x^2y-15xy^2+25xy

factor

10 x^{2} y - 15 x y^{2} + 25 x y

5 x y (2 x - 3 y + 5)

Solution steps

10 x^{2} y - 15 x y^{2} + 25 x y

Apply exponent rule:

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

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

= 10 xx y - 15 x yy + 25 x y

Rewrite

25

5 \cdot 5

Rewrite

- 15

3 \cdot 5

= 2 \cdot 5 xx y + 3 \cdot 5 x yy + 5 \cdot 5 x y

Factor out common term

5 x y

= 5 x y (2 x - 3 y + 5)

3 x^{3} + 5 x^{2} - 12 x - 20

(3 - 2 x)^{2}

5 + (- 2)

(- 2 g + 7) - (g + 11)

(x - 5) (x + 1)

What is factor 10x^2y-15xy^2+25xy ?
The solution to factor 10x^2y-15xy^2+25xy is 5xy(2x-3y+5)