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Which expression represents the expansion of (x + 2)(x - 3)?

Practice Questions

Q1
Which expression represents the expansion of (x + 2)(x - 3)?
  1. x^2 - x - 6
  2. x^2 - x + 6
  3. x^2 + x - 6
  4. x^2 + x + 6

Questions & Step-by-Step Solutions

Which expression represents the expansion of (x + 2)(x - 3)?
  • Step 1: Write down the expression (x + 2)(x - 3).
  • Step 2: Use the distributive property to multiply each term in the first parentheses by each term in the second parentheses.
  • Step 3: Multiply x by x to get x^2.
  • Step 4: Multiply x by -3 to get -3x.
  • Step 5: Multiply 2 by x to get 2x.
  • Step 6: Multiply 2 by -3 to get -6.
  • Step 7: Combine all the results: x^2 - 3x + 2x - 6.
  • Step 8: Combine like terms (-3x and 2x) to get -x.
  • Step 9: Write the final expression: x^2 - x - 6.
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