Question

multiply. (3b + 4)(5b + 6) simplify your answer.

Explanation:

Step1: Use FOIL method

$(3b + 4)(5b+6)=3b\times5b+3b\times6 + 4\times5b+4\times6$

Step2: Calculate each product

$3b\times5b = 15b^{2}$, $3b\times6=18b$, $4\times5b = 20b$, $4\times6 = 24$

Step3: Combine like - terms

$15b^{2}+(18b + 20b)+24=15b^{2}+38b + 24$

Answer:

$15b^{2}+38b + 24$