Question:
Expand the expression \( (x + 3)(x - 2) \).
Expand the expression \( (x + 3)(x - 2) \).
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To expand binomials, use the distributive property (also known as FOIL for two binomials): Multiply each term in the first binomial by each term in the second binomial.
Updated On: Oct 6, 2025
- \( x^2 + x - 6 \)
- \( x^2 - x - 6 \)
- \( x^2 + 6x - 6 \)
- \( x^2 - 6x - 6 \)
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The Correct Option is A
Solution and Explanation
Step 1: Use the distributive property:
\[
(x + 3)(x - 2) = x(x - 2) + 3(x - 2) = x^2 - 2x + 3x - 6.
\]
Step 2: Combine like terms:
\[
x^2 - 2x + 3x - 6 = x^2 + x - 6.
\]
Thus, the expanded form is \( x^2 + x - 6 \).
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