What is factor 24x^2*y+36x^3*y^2-12x^4*y^3 ?

The solution to factor 24x^2*y+36x^3*y^2-12x^4*y^3 is 12x^2y(2+3xy-x^2y^2)

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factor 24x^2y+36x^3y^2-12x^4*y^3

factor

24 x^{2} \cdot y + 36 x^{3} \cdot y^{2} - 12 x^{4} \cdot y^{3}

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

Solution steps

24 x^{2} y + 36 x^{3} y^{2} - 12 x^{4} y^{3}

Apply exponent rule:

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

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

= 24 x^{2} y + 36 x^{2} x yy - 12 x^{2} x^{2} y y^{2}

Rewrite

36

3 \cdot 12

Rewrite

24

2 \cdot 12

= 2 \cdot 12 x^{2} y + 3 \cdot 12 x^{2} x yy - 12 x^{2} x^{2} y y^{2}

Factor out common term

12 x^{2} y

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

((15 0^{y})^{2})^{3}

m^{5} \cdot m^{3} \cdot m^{- 4}

ln (e^{6 x + 9})

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

6 x^{2} + 9 x^{2} y - 21 x y

What is factor 24x^2*y+36x^3*y^2-12x^4*y^3 ?
The solution to factor 24x^2*y+36x^3*y^2-12x^4*y^3 is 12x^2y(2+3xy-x^2y^2)