Question

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

x2+x−6
x squared plus x minus 6

x2−5x+6
x squared minus 5 x plus 6

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

x2−6

Answer 1

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)