Questions: 27 u^2 v^2 w^6 - 9 u^9 v^4

Transcript text: $27 u^{2} v^{2} w^{6}-9 u^{9} v^{4}$

Solution

Step 1: Factor the Polynomial

We start with the polynomial expression:

\[ 27 u^{2} v^{2} w^{6} - 9 u^{9} v^{4} \]

To factor this expression, we can identify common factors in both terms. The common factors are $9 u^{2} v^{2}$. Factoring this out, we have:

The fully factorized form of the polynomial is:

\[ \boxed{-9 u^{2} v^{2} \left(u^{7} v^{2} - 3 w^{6}\right)} \]

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