Find the product. (6a + b)2
the answer ahould be ... 12a + 2b
Answer:
The product of given expression is \(36a^2+12ab+b^2\).
Step-by-step explanation:
The given expression is
\((6a+b)^2\)
This expression can be written as
\((6a+b)(6a+b)\)
Using distributive property, we get
\(6a(6a+b)+b(6a+b)\)
\(6a(6a)+6a(b)+b(6a)+b(b)\)
\(36a^2+6ab+6ab+b^2\)
\(36a^2+12ab+b^2\)
Therefore the product of given expression is \(36a^2+12ab+b^2\).