What is factor 24x^4y-9x^3y^3-12x^3y^2 ?

The solution to factor 24x^4y-9x^3y^3-12x^3y^2 is 3x^3y(8x-3y^2-4y)

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factor 24x^4y-9x^3y^3-12x^3y^2

factor

24 x^{4} y - 9 x^{3} y^{3} - 12 x^{3} y^{2}

3 x^{3} y (8 x - 3 y^{2} - 4 y)

Solution steps

24 x^{4} y - 9 x^{3} y^{3} - 12 x^{3} y^{2}

Apply exponent rule:

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

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

= 24 x^{3} x y - 9 x^{3} y y^{2} - 12 x^{3} yy

Rewrite

- 12

4 \cdot 3

Rewrite

- 9

3 \cdot 3

= 8 \cdot 3 x^{3} x y + 3 \cdot 3 x^{3} y y^{2} + 4 \cdot 3 x^{3} yy

Factor out common term

3 x^{3} y

= 3 x^{3} y (8 x - 3 y^{2} - 4 y)

4 x^{2} + 8 x - 60

3^{4 x - 5} < 8

15 (3 + 10)

10 \cdot 3

What is factor 24x^4y-9x^3y^3-12x^3y^2 ?
The solution to factor 24x^4y-9x^3y^3-12x^3y^2 is 3x^3y(8x-3y^2-4y)