How do you multiply (2a + 3b)(6a + 9b)(2a+3b)(6a+9b)?

1 Answer
Sep 10, 2016

12a^2+36ab+27b^212a2+36ab+27b2

Explanation:

Multiply each term of the first binomial by each term of the second binomial. In other words, multiply 2a by 6a, 2a by 9b, 3b by 6a, and 3b by 9b. Then add like terms.

(2a+3b)(6a+9b)(2a+3b)(6a+9b)

Multiply each term in the first binomial by each term in the second.
12a^2+18ab +18ab +27b^212a2+18ab+18ab+27b2

Combine like terms.
12a^2 +36ab+27b^212a2+36ab+27b2