To multiply the expression \((x + 3)(x - 2)\), we can use the distributive property (also known as the FOIL method for binomials):
\[ (x + 3)(x - 2) = x(x) + x(-2) + 3(x) + 3(-2) \]
Calculating each term:
- \(x(x) = x^2\)
- \(x(-2) = -2x\)
- \(3(x) = 3x\)
- \(3(-2) = -6\)
Now, combine these terms:
\[ x^2 - 2x + 3x - 6 \]
Combine like terms:
\[ x^2 + (3x - 2x) - 6 = x^2 + 1x - 6 = x^2 + x - 6 \]
So, the result of multiplying \((x + 3)(x - 2)\) is:
\[ x^2 + x - 6 \]
The correct answer is:
x2 + x - 6 (x squared plus x minus 6)