simplify the following expression. (x - 3)(x + 2) x²+?x+

Explanation:

Step1: Use FOIL method

$(x - 3)(x + 2)=x\times x+x\times2-3\times x - 3\times2$

Step2: Simplify each term

$x\times x=x^{2}$, $x\times2 = 2x$, $-3\times x=-3x$, $-3\times2=-6$

Step3: Combine like - terms

$x^{2}+2x-3x - 6=x^{2}+(2 - 3)x-6=x^{2}-x - 6$

Answer:

The number in the green box is $-1$, and the number in the gray box is $-6$.