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

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

Options:

Correct Answer: x^2 - x - 6

Solution:

Use the distributive property: x^2 - 3x + 2x - 6 = x^2 - x - 6.

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

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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