What is factor 12x^2y^3+9x^3-6x^4y ?

The solution to factor 12x^2y^3+9x^3-6x^4y is 3x^2(4y^3+3x-2x^2y)

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factor 12x^2y^3+9x^3-6x^4y

factor

12 x^{2} y^{3} + 9 x^{3} - 6 x^{4} y

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

Solution steps

12 x^{2} y^{3} + 9 x^{3} - 6 x^{4} y

Apply exponent rule:

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

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

= 12 x^{2} y^{3} + 9 x^{2} x - 6 x^{2} x^{2}

Rewrite

- 6

2 \cdot 3

Rewrite

9

3 \cdot 3

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

Factor out common term

3 x^{2}

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

∣ 2 x + 4 ∣ = - 6

- \frac{3}{2 ^{2}}

2 x + 5 = 3 x + 6

3 x^{2} - 4 x - 3 = 0

∣ - x ∣ = x

What is factor 12x^2y^3+9x^3-6x^4y ?
The solution to factor 12x^2y^3+9x^3-6x^4y is 3x^2(4y^3+3x-2x^2y)