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Factor completely: 2x(x+8)+7(x+8) Answer:

Factor completely:\newline2x(x+8)+7(x+8) 2 x(x+8)+7(x+8) \newlineAnswer:

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Factor numerical expressions using the distributive propertyright chevron icon

Full solution

Q. Factor completely:\newline2x(x+8)+7(x+8) 2 x(x+8)+7(x+8) \newlineAnswer:
  1. Identify Common Factor: Identify the common factor in both terms.\newlineBoth terms 2x(x+8)2x(x+8) and 7(x+8)7(x+8) have a common factor of (x+8)(x+8).
  2. Factor Out Common Factor: Factor out the common factor (x+8)(x+8). The expression can be written as (x+8)(2x+7)(x+8)(2x+7) by factoring out the common factor (x+8)(x+8).
  3. Check Factored Expression: Check the factored expression by distributing (x+8)(x+8) across (2x+7)(2x+7). Distributing gives us 2x(x+8)+7(x+8)2x(x+8) + 7(x+8), which is the original expression, confirming that the factoring is correct.

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