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Simplification of Expressions

Given Expressions

• Expression 4: $(3 - 41)(2 + 51)$

  • Step 1: Calculate each component:
  • $(3 - 41) = 3 - 41 = -38$
  • $(2 + 51) = 2 + 51 = 53$
  • Step 2: Multiply the results:
  • $(-38)(53)$
    • Multiplying these together:
    • $-38 imes 53 = -2014$
  • Final Result for Expression 4: $-2014$

• Expression 5: $(7 + 1)(8 - 31)$

  • Step 1: Calculate each component:
  • $(7 + 1) = 8$
  • $(8 - 31) = 8 - 31 = -23$
  • Step 2: Multiply the results:
  • $(8)(-23)$
    • Resulting in:
    • $8 imes -23 = -184$
  • Final Result for Expression 5: $-184$

• Expression 6: $(2 + 51) + (361)$

  • Step 1: Calculate each component:
  • $(2 + 51) = 53$
  • $(361)$
  • Step 2: Add the results:
  • $53 + 361 = 414$
  • Final Result for Expression 6: $414$

• Expression 7: $-108$

  • Final Result for Expression 7: $-108$

Summary of Results

• Expression 4: $-2014$
• Expression 5: $-184$
• Expression 6: $414$
• Expression 7: $-108$