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Factor completely: 5(x+4)^(2)+(x+4)^(3) Answer:

Factor completely:\newline5(x+4)2+(x+4)3 5(x+4)^{2}+(x+4)^{3} \newlineAnswer:

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Full solution

Q. Factor completely:\newline5(x+4)2+(x+4)3 5(x+4)^{2}+(x+4)^{3} \newlineAnswer:
  1. Identify Common Factor: Identify the common factor in both terms.\newlineBoth terms have (x+4)(x+4) in common. The first term has (x+4)2(x+4)^2 and the second term has (x+4)3(x+4)^3. The common factor is (x+4)2(x+4)^2.
  2. Factor Out Common Factor: Factor out the common factor from both terms.\newlineWe can factor (x+4)2(x+4)^2 out of both terms to get (x+4)2[5+(x+4)](x+4)^2[5 + (x+4)].
  3. Simplify Inside Brackets: Simplify the expression inside the brackets.\newlineInside the brackets, we have 5+(x+4)5 + (x+4). Simplify this to get 5+x+45 + x + 4, which simplifies further to x+9x + 9.
  4. Write Final Factored Form: Write the final factored form.\newlineThe final factored form is (x+4)2(x+9)(x+4)^2(x + 9).

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