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

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

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factor 6x^3-9x^2y-6x^2y^2

factor

6 x^{3} - 9 x^{2} y - 6 x^{2} y^{2}

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

Solution steps

6 x^{3} - 9 x^{2} y - 6 x^{2} y^{2}

Apply exponent rule:

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

x^{3} = x^{2} x

= 6 x^{2} x - 9 x^{2} y - 6 x^{2} y^{2}

Rewrite

- 6

2 \cdot 3

Rewrite

- 9

3 \cdot 3

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

Factor out common term

3 x^{2}

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

\frac{x}{( x - 1 )} - \frac{1}{( x ^{2} - x )}

54 x^{3} - 2 y^{3}

(\frac{- 2}{3 x ^{3} - 1})^{2}

x^{2} - 22 x + 120

(3 z + y)^{3}

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