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Answer :

Answer:

x² + 8x + 7

General Formulas and Concepts:

Algebra I

  • Terms/Coefficients/Degrees
  • Expand by FOIL (First Outside Inside Last)

Step-by-step explanation:

Step 1: Define

(x + 7)(x + 1)

Step 2: Expand

  1. Expand [FOIL]:                    x² + x + 7x + 7
  2. Combine like terms:           x² + 8x + 7

Answer:

[tex](x + 7)(x + 1) = {x}^{2} + 7x + x + 7 \\ = {x}^{2} + 8x + 7 \\ Answer:\: \: \: \: \: \: \boxed{{x}^{2} +8 x + 7}[/tex]