What is factor 2x^2y-4xy^2+6xy ?

The solution to factor 2x^2y-4xy^2+6xy is 2xy(x-2y+3)

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factor 2x^2y-4xy^2+6xy

factor

2 x^{2} y - 4 x y^{2} + 6 x y

2 x y (x - 2 y + 3)

Solution steps

2 x^{2} y - 4 x y^{2} + 6 x y

Apply exponent rule:

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

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

= 2 xx y - 4 x yy + 6 x y

Rewrite

6

3 \cdot 2

Rewrite

- 4

2 \cdot 2

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

Factor out common term

2 x y

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

\frac{( ( 2 y ^{2} ) ^{2} )}{( 2 x ^{- 2} \cdot y ^{- 1} - 2 x ^{4} \cdot y ^{3} )}

\frac{x ^{2} + 11 x + 26}{- ( x + 3 )}

2 x^{2} + 13 x y - 24 y^{2}

a^{2} m^{3}

(w^{7})^{- 2}

What is factor 2x^2y-4xy^2+6xy ?
The solution to factor 2x^2y-4xy^2+6xy is 2xy(x-2y+3)