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

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

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Full solution

Q. Factor completely:\newline(x+9)5−5(x+9)4 (x+9)^{5}-5(x+9)^{4} \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.\newlineFactor (x+9)4(x+9)^{4} out of the expression to get (x+9)4×[(x+9)−5](x+9)^{4} \times [(x+9) - 5].
  3. Simplify Inside Brackets: Simplify the expression inside the brackets.\newlineSimplify (x+9)−5(x+9) - 5 to get x+4x + 4.
  4. Write Final Factored Expression: Write the final factored expression.\newlineThe completely factored form is (x+9)4×(x+4)(x+9)^{4} \times (x + 4).

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