Question

find the product.
$(s + 2)(s + 4)(s - 3) = \square$

Explanation:

Step1: Multiply first two binomials

$(s+2)(s+4) = s^2 + 4s + 2s + 8 = s^2 + 6s + 8$

Step2: Multiply result by third binomial

$(s^2 + 6s + 8)(s - 3) = s(s^2 + 6s + 8) - 3(s^2 + 6s + 8)$

Step3: Expand and combine like terms

$s^3 + 6s^2 + 8s - 3s^2 - 18s - 24 = s^3 + 3s^2 - 10s - 24$

Answer:

$s^3 + 3s^2 - 10s - 24$