What is factor x^4y^3-8xy^2+12x^2y ?

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

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factor x^4y^3-8xy^2+12x^2y

factor

x^{4} y^{3} - 8 x y^{2} + 12 x^{2} y

x y (x^{3} y^{2} - 8 y + 12 x)

Solution steps

x^{4} y^{3} - 8 x y^{2} + 12 x^{2} y

Apply exponent rule:

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

x^{4} y^{3} = x x^{3} y y^{2}, x y^{2} = x yy, x^{2} y = xx y

= x x^{3} y y^{2} - 8 x yy + 12 xx y

Factor out common term

x y

= x y (x^{3} y^{2} - 8 y + 12 x)

- 1 \cdot 7

\frac{3}{4} \cdot (- 8)

(32 - 7)^{2}

\frac{1}{2} 8

(- 5 x^{2} - 7 x + 2) - (- 5 x^{2} + 7 x + 2)

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