Question

simplify the following expression.
$(b + 8)(b + 2)$
$b^2 + ?b + \square$

Explanation:

Step1: Apply FOIL method

$(b+8)(b+2) = b\cdot b + b\cdot2 + 8\cdot b + 8\cdot2$

Step2: Calculate each term

$= b^2 + 2b + 8b + 16$

Step3: Combine like terms

$= b^2 + (2+8)b + 16 = b^2 + 10b + 16$

Answer:

The missing coefficients are 10 and 16, so the simplified expression is $\boldsymbol{b^2 + 10b + 16}$