What is factor 12x^2y^3-16x^3y^2 ?

The solution to factor 12x^2y^3-16x^3y^2 is 4x^2y^2(3y-4x)

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factor 12x^2y^3-16x^3y^2

factor

12 x^{2} y^{3} - 16 x^{3} y^{2}

4 x^{2} y^{2} (3 y - 4 x)

Solution steps

12 x^{2} y^{3} - 16 x^{3} y^{2}

Apply exponent rule:

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

x^{2} y^{3} = x^{2} y^{2} y, x^{3} y^{2} = x^{2} x y^{2}

= 12 x^{2} y^{2} y - 16 x^{2} x y^{2}

Rewrite

- 16

4 \cdot 4

Rewrite

12

3 \cdot 4

= 3 \cdot 4 x^{2} y^{2} y + 4 \cdot 4 x^{2} x y^{2}

Factor out common term

4 x^{2} y^{2}

= 4 x^{2} y^{2} (3 y - 4 x)

(a^{- 1} + b^{- 1})^{- 2}

(7 + h)^{3}

\frac{5 x + 4 y}{6} + \frac{3 x - y}{2}

49 x^{5}

\frac{20 x ^{24}}{10 x ^{6}}

What is factor 12x^2y^3-16x^3y^2 ?
The solution to factor 12x^2y^3-16x^3y^2 is 4x^2y^2(3y-4x)