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

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

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

factor

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

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

Solution steps

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

Apply exponent rule:

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

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

= - 5 xx y + 10 x y - 15 x yy

Rewrite

- 15

3 \cdot 5

Rewrite

10

2 \cdot 5

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

Factor out common term

- 5 x y

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

5^{- 2} \cdot 5^{5}

5 \leq 1 - r

3 n + 75 = 50 + 2 n

4 - 6 v > 19 - 3 v

x - 1 = (2 - x)^{2}

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