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Factor completely:

4x^(2)(x+8)-7(x+8)
Answer:

Factor completely:\newline4x2(x+8)7(x+8) 4 x^{2}(x+8)-7(x+8) \newlineAnswer:

Full solution

Q. Factor completely:\newline4x2(x+8)7(x+8) 4 x^{2}(x+8)-7(x+8) \newlineAnswer:
  1. Identify Common Factor: Identify the common factor in both terms.\newlineBoth terms have a common factor of (x+8)(x+8).
  2. Factor Out Common Factor: Factor out the common factor from both terms.\newlineThe expression can be written as x+\(8)(44x^227-7)\.
  3. Check for Further Factoring: Check if the remaining terms can be factored further. The terms 4x24x^2 and 7-7 have no common factors and the expression 4x274x^2-7 cannot be factored further using integers.
  4. Write Final Factored Form: Write the final factored form of the expression.\newlineThe completely factored form of the expression is (x+8)(4x27)(x+8)(4x^2-7).

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