Which of the following expressions is equivalent to (x + 2)(x - 3)?

Practice Questions

Q1
Which of the following expressions is equivalent to (x + 2)(x - 3)?
  1. x^2 - x - 6
  2. x^2 + x - 6
  3. x^2 - 5x - 6
  4. x^2 - x + 6

Questions & Step-by-Step Solutions

Which of the following expressions is equivalent to (x + 2)(x - 3)?
  • Step 1: Start with the expression (x + 2)(x - 3).
  • Step 2: Use the distributive property (also known as the FOIL method) to multiply the two binomials.
  • Step 3: Multiply the first terms: x * x = x^2.
  • Step 4: Multiply the outer terms: x * -3 = -3x.
  • Step 5: Multiply the inner terms: 2 * x = 2x.
  • Step 6: Multiply the last terms: 2 * -3 = -6.
  • Step 7: Combine all the results from steps 3, 4, 5, and 6: x^2 - 3x + 2x - 6.
  • Step 8: Combine like terms: -3x + 2x = -x.
  • Step 9: Write the final expression: x^2 - x - 6.
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