Question

what is ((m + 5)(5m^2 + 4m + 7))?
a. (5m^3 + 28m^2 + 28m + 35)
b. (5m^3 + 29m^2 + 27m + 34)
c. (5m^3 + 29m^2 + 28m + 35)
d. (5m^3 + 29m^2 + 27m + 35)

Explanation:

Step1: Distribute $m$ to each term

$m(5m^2 + 4m + 7) = 5m^3 + 4m^2 + 7m$

Step2: Distribute $5$ to each term

$5(5m^2 + 4m + 7) = 25m^2 + 20m + 35$

Step3: Combine the two results

$(5m^3 + 4m^2 + 7m) + (25m^2 + 20m + 35)$

Step4: Combine like terms

$5m^3 + (4m^2+25m^2) + (7m+20m) + 35 = 5m^3 + 29m^2 + 28m + 35$

Answer:

c. $5m^{3}+29m^{2}+28m+35$