What is factor 24x^3y^2-18xy^3+12y^3 ?

The solution to factor 24x^3y^2-18xy^3+12y^3 is 6y^2(4x^3-3xy+2y)

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factor 24x^3y^2-18xy^3+12y^3

factor

24 x^{3} y^{2} - 18 x y^{3} + 12 y^{3}

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

Solution steps

24 x^{3} y^{2} - 18 x y^{3} + 12 y^{3}

Apply exponent rule:

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

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

= 24 x^{3} y^{2} - 18 y^{2} y + 12 y^{2} y

Rewrite

12

2 \cdot 6

Rewrite

- 18

3 \cdot 6

= 4 \cdot 6 x^{3} y^{2} + 3 \cdot 6 y^{2} y + 2 \cdot 6 y^{2} y

Factor out common term

6 y^{2}

= 6 y^{2} (4 x^{3} - 3 x y + 2 y)

x^{2} + 4 = 9

8^{2} + x^{2} = 1 5^{2}

- - 44

(\frac{4}{3} + \frac{5}{3})^{2}

4 x^{2} + 3 x - 8 = 0

What is factor 24x^3y^2-18xy^3+12y^3 ?
The solution to factor 24x^3y^2-18xy^3+12y^3 is 6y^2(4x^3-3xy+2y)