What is factor 24x^3y^2-30x^2y^3+12x^2y^4 ?

The solution to factor 24x^3y^2-30x^2y^3+12x^2y^4 is 6x^2y^2(4x-5y+2y^2)

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factor 24x^3y^2-30x^2y^3+12x^2y^4

factor

24 x^{3} y^{2} - 30 x^{2} y^{3} + 12 x^{2} y^{4}

6 x^{2} y^{2} (4 x - 5 y + 2 y^{2})

Solution steps

24 x^{3} y^{2} - 30 x^{2} y^{3} + 12 x^{2} y^{4}

Apply exponent rule:

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

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

= 24 x^{2} x y^{2} - 30 x^{2} y^{2} y + 12 x^{2} y^{2} y^{2}

Rewrite

12

2 \cdot 6

Rewrite

- 30

5 \cdot 6

= 4 \cdot 6 x^{2} x y^{2} + 5 \cdot 6 x^{2} y^{2} y + 2 \cdot 6 x^{2} y^{2} y^{2}

Factor out common term

6 x^{2} y^{2}

= 6 x^{2} y^{2} (4 x - 5 y + 2 y^{2})

5 z = 4

∣ - 2 x + 7 ∣ \leq 13

∣ y ∣ - 8 = - 5

x + 4 (3.5 x) = 15

(1 6^{\frac{3}{4}})^{2}

What is factor 24x^3y^2-30x^2y^3+12x^2y^4 ?
The solution to factor 24x^3y^2-30x^2y^3+12x^2y^4 is 6x^2y^2(4x-5y+2y^2)