Algebra-1

Question Analysis
This question tests the student's ability to multiply polynomials, specifically a binomial by a trinomial, and then simplify the resulting expression. It aligns with the Algebra-1 standard of polynomial multiplication and combining like terms.

Key Concept Explanation
To multiply polynomials, each term in the first polynomial must be multiplied by each term in the second polynomial. After distributing, combine like terms to simplify the expression.

Step-by-step Solution
1. Distribute 5g (from the binomial) to each term in the trinomial:

2. Distribute (from the binomial) to each term in the trinomial: