Multiply. $$ \begin{array}{l}(2+5 b)(5+6 b) \ \text { Simplify your answer. }\end{array} $$

Question

UpStudy AI · Accepted Answer

1. Apply the distributive property (FOIL method) to expand:
   $$
   (2+5b)(5+6b) = 2 \cdot 5 + 2 \cdot 6b + 5b \cdot 5 + 5b \cdot 6b
   $$

2. Compute each product:
   $$
   2 \cdot 5 = 10, \quad 2 \cdot 6b = 12b, \quad 5b \cdot 5 = 25b, \quad 5b \cdot 6b = 30b^2
   $$

3. Combine the terms:
   $$
   10 + 12b + 25b + 30b^2
   $$

4. Simplify by adding like terms ($$12b + 25b$$):
   $$
   10 + 37b + 30b^2
   $$

5. Rearranging in descending order, the final answer is:
   $$
   30b^2 + 37b + 10
   $$
The simplified answer is $$30b^2 + 37b + 10$$.

Multiply. \[ \begin{array}{l}(2+5 b)(5+6 b) \\ \text { Simplify your answer. }\end{array} \]