Perform the indicated operations. See Examples 2–6. (3p+5)^2

Binomial expansion refers to the process of expanding expressions that are raised to a power, specifically in the form of (a + b)^n. The expansion can be achieved using the Binomial Theorem, which states that (a + b)^n = Σ (n choose k) * a^(n-k) * b^k, where k ranges from 0 to n. This theorem allows for systematic calculation of each term in the expansion.

Squaring a binomial involves multiplying the binomial by itself, which can be expressed as (a + b)^2 = a^2 + 2ab + b^2. This formula simplifies the process of squaring a binomial and is a specific case of the binomial expansion. Understanding this concept is crucial for efficiently performing operations on binomials.

Polynomial operations include addition, subtraction, multiplication, and division of polynomial expressions. In the context of the given question, performing operations on polynomials requires knowledge of combining like terms and applying the distributive property. Mastery of these operations is essential for manipulating and simplifying polynomial expressions effectively.