Final answer:
The expression (3v+8w)² is simplified to 9v² + 48vw + 64w² using the square of a binomial formula.
Step-by-step explanation:
To rewrite and simplify the expression (3v+8w)² without parentheses, we will apply the square of a binomial formula: (a+b)² = a² + 2ab + b². Following this formula, we get:
- (3v)² = 9v²
- 2 × (3v) × (8w) = 48vw
- (8w)² = 64w²
Combining these, the expression becomes 9v² + 48vw + 64w².
This is the squared binomial fully expanded and simplified. No further simplification is possible since there are no like terms to combine.