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Factor completely: 10(x+9)^(4)-(x+9)^(5) Answer:

Factor completely:\newline10(x+9)4−(x+9)5 10(x+9)^{4}-(x+9)^{5} \newlineAnswer:

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Full solution

Q. Factor completely:\newline10(x+9)4−(x+9)5 10(x+9)^{4}-(x+9)^{5} \newlineAnswer:
  1. Identify Common Factor: Identify the common factor in both terms.\newlineBoth terms have a common factor of (x+9)4(x+9)^{4}.
  2. Factor Out Common Factor: Factor out the common factor from both terms.\newlineThe expression can be factored as (x+9)4(10−(x+9))(x+9)^{4}(10 - (x+9)).
  3. Simplify Inside Parentheses: Simplify the expression inside the parentheses.\newlineSimplify 10−(x+9)10 - (x+9) to 10−x−910 - x - 9, which simplifies further to 1−x1 - x.
  4. Write Final Factored Form: Write the final factored form.\newlineThe completely factored form of the expression is (x+9)4(1−x)(x+9)^{4}(1 - x).

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