Expand and simplify the algebraic expression (3x - 2)(2x + 5).
Answer and explanation
Correct answer: D. 6x^2 + 11x - 10
- Step 1: Use FOIL expansion: First = 3x 2x = 6x^2; Outer = 3x 5 = 15x; Inner = -2 2x = -4x; Last = -2 5 = -10. Step 2. Combine like terms: 15x - 4x = 11x. The result is 6x^2 + 11x - 10. Answer: 6x^2 + 11x - 10. Why not the others: Sign errors on inner terms produce -11x or omitting inner terms yields 15x.
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