Simplify (6w^4)/(2u^6w^3-6w^6t^6)

$\frac{6 w^{4}}{2 u^{6} w^{3} - 6 w^{6} t^{6}}$

Factor $2 w^{3}$ out of $2 u^{6} w^{3} - 6 w^{6} t^{6}$ .

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Factor $2 w^{3}$ out of $2 u^{6} w^{3}$ .

$\frac{6 w^{4}}{2 w^{3} (u^{6}) - 6 w^{6} t^{6}}$

Factor $2 w^{3}$ out of $- 6 w^{6} t^{6}$ .

$\frac{6 w^{4}}{2 w^{3} (u^{6}) + 2 w^{3} (- 3 w^{3} t^{6})}$

Factor $2 w^{3}$ out of $2 w^{3} (u^{6}) + 2 w^{3} (- 3 w^{3} t^{6})$ .

$\frac{6 w^{4}}{2 w^{3} (u^{6} - 3 w^{3} t^{6})}$

Cancel the common factor of $6$ and $2$ .

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Factor $2$ out of $6 w^{4}$ .

$\frac{2 (3 w^{4})}{2 w^{3} (u^{6} - 3 w^{3} t^{6})}$

Cancel the common factors.

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Factor $2$ out of $2 w^{3} (u^{6} - 3 w^{3} t^{6})$ .

$\frac{2 (3 w^{4})}{2 (w^{3} (u^{6} - 3 w^{3} t^{6}))}$

Cancel the common factor.

$\frac{2 (3 w^{4})}{2 (w^{3} (u^{6} - 3 w^{3} t^{6}))}$

Rewrite the expression.

$\frac{3 w^{4}}{w^{3} (u^{6} - 3 w^{3} t^{6})}$

Cancel the common factor of $w^{4}$ and $w^{3}$ .

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Factor $w^{3}$ out of $3 w^{4}$ .

$\frac{w^{3} (3 w)}{w^{3} (u^{6} - 3 w^{3} t^{6})}$

Cancel the common factors.

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Cancel the common factor.

$\frac{w^{3} (3 w)}{w^{3} (u^{6} - 3 w^{3} t^{6})}$

Rewrite the expression.

$\frac{3 w}{u^{6} - 3 w^{3} t^{6}}$

Simplify (6w^4)/(2u^6w^3-6w^6t^6)

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