What is factor 4x^2y-8xy^2+12xy ?

The solution to factor 4x^2y-8xy^2+12xy is 4xy(x-2y+3)

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factor 4x^2y-8xy^2+12xy

factor

4 x^{2} y - 8 x y^{2} + 12 x y

4 x y (x - 2 y + 3)

Solution steps

4 x^{2} y - 8 x y^{2} + 12 x y

Apply exponent rule:

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

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

= 4 xx y - 8 x yy + 12 x y

Rewrite

12

3 \cdot 4

Rewrite

- 8

2 \cdot 4

= 4 xx y + 2 \cdot 4 x yy + 3 \cdot 4 x y

Factor out common term

4 x y

= 4 x y (x - 2 y + 3)

a^{2} - 4 b^{2} - 6 a + 12 b

1 - (\frac{1}{x ^{2}})

\frac{( 12 x ^{2} + 24 x )}{( x + 2 )}

(\frac{3 x ^{5}}{y})^{- 2}

\frac{f ( x ) \cdot x ^{4} + 5}{cos ( x )}

What is factor 4x^2y-8xy^2+12xy ?
The solution to factor 4x^2y-8xy^2+12xy is 4xy(x-2y+3)