Factor completely: 10w^(10)-33w^(5)d^(3)+27d^(6) Answer:

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Factor completely:  10w^(10)-33w^(5)d^(3)+27d^(6) Answer:

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Identify Common Factor: Identify the common factor in each term of the polynomial. The polynomial is 10w^(10)-33w^(5)d^(3)+27d^(6). We can see that each term has a factor of w^5d^3.Factor Out GCF: Factor out the greatest common factor from each term. The greatest common factor is w^5d^3. Factoring this out, we get: w^5d^3(10w^(10-5) - 33w^(5-5)d^(3-3) + 27d^(6-3)) w^5d^3(10w^5 - 33 + 27d^3)Look for Patterns: Look for patterns in the remaining trinomial. The trinomial inside the parentheses is 10w^5 - 33 + 27d^3. This does not fit the pattern of a perfect square trinomial or any other easily factorable form. We need to look for other methods to factor this trinomial.Attempt to Factor: Attempt to factor by grouping or other methods. Since the trinomial does not factor easily, we can try to factor by grouping or look for a pattern that might help us factor it. However, there is no clear grouping method that applies, and the trinomial does not seem to have a pattern that we can use to factor it further.Conclude Trinomial is Prime: Conclude that the trinomial is prime. After attempting to factor by grouping and looking for patterns, we conclude that the trinomial 10w^5 - 33 + 27d^3 is prime and cannot be factored further.

Factor completely: $\newline$ $10 w^{10}-33 w^{5} d^{3}+27 d^{6}$ $\newline$ Answer:

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Factor completely:\newline10w10−33w5d3+27d6 10 w^{10}-33 w^{5} d^{3}+27 d^{6} 10w10−33w5d3+27d6\newlineAnswer:

Factor completely: $\newline$ $10 w^{10}-33 w^{5} d^{3}+27 d^{6}$ $\newline$ Answer: