What is factor 6y^3-12y^4x-18y^5 ?

The solution to factor 6y^3-12y^4x-18y^5 is 6y^3(1-2yx-3y^2)

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factor 6y^3-12y^4x-18y^5

factor

6 y^{3} - 12 y^{4} x - 18 y^{5}

6 y^{3} (1 - 2 y x - 3 y^{2})

Solution steps

6 y^{3} - 12 y^{4} x - 18 y^{5}

Apply exponent rule:

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

y^{4} x = y^{3} y, y^{5} = y^{3} y^{2}

= 6 y^{3} - 12 y^{3} y - 18 y^{3} y^{2}

Rewrite

- 18

3 \cdot 6

Rewrite

- 12

2 \cdot 6

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

Factor out common term

6 y^{3}

= 6 y^{3} (1 - 2 y x - 3 y^{2})

\frac{2 x}{7} + \frac{2}{3} = \frac{x}{21} + 2

\frac{10 x ^{4}}{y ^{- 1}}

\frac{\frac{x}{y} - \frac{y}{x}}{\frac{1}{x ^{2}} - \frac{1}{y ^{2}}}

3 r + 9 s

\frac{1}{\frac{3}{8}}

What is factor 6y^3-12y^4x-18y^5 ?
The solution to factor 6y^3-12y^4x-18y^5 is 6y^3(1-2yx-3y^2)