Question

Multiply (x+3)(x−2)
.(1 point)
Responses

x2+5x+6
x squared plus 5 x plus 6

x2−6
x squared minus 6

x2−5x+6
x squared minus 5 x plus 6

x2+x−6
x squared plus x minus 6

Answer 1

To multiply the expression \((x+3)(x−2)\), you can use the distributive property (also known as the FOIL method for binomials):

1. First, multiply the first terms: \(x \cdot x = x^2\).
2. Next, multiply the outer terms: \(x \cdot (-2) = -2x\).
3. Then, multiply the inner terms: \(3 \cdot x = 3x\).
4. Finally, multiply the last terms: \(3 \cdot (-2) = -6\).

Now, combine all these results:
\[
x^2 - 2x + 3x - 6 = x^2 + (3x - 2x) - 6 = x^2 + x - 6
\]

Therefore, the answer is:
\[
\boxed{x^2 + x - 6}
\]