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+x−6 x squared plus x minus 6 x2−5x+6

Answer 1

To multiply the two binomials \((x + 3)(x - 2)\), we can use the distributive property (also known as the FOIL method for binomials):

1. First: \(x \cdot x = x^2\)
2. Outer: \(x \cdot (-2) = -2x\)
3. Inner: \(3 \cdot x = 3x\)
4. Last: \(3 \cdot (-2) = -6\)

Now, combine all these results:

\[ x^2 - 2x + 3x - 6 \]

Combine the like terms:

\(-2x + 3x = 1x\) or just \(x\),

So, we have:

\[ x^2 + x - 6 \]

Thus, the final result is:

\(x^2 + x - 6\).

Among the options you provided, the correct one is:

x² + x - 6.