Given the expression:
(5x+3)^2
1. Recognize the formula for squaring a binomial:
(a+b)^2 = a^2 + 2ab + b^2
2. Substitute \(a = 5x\) and \(b = 3\) into the formula:
(5x+3)^2 = (5x)^2 + 2 \cdot (5x) \cdot 3 + 3^2
3. Simplify each term:
(5x)^2 = 25x^2
2 \cdot 5x \cdot 3 = 30x
3^2 = 9
4. Combine all the terms:
25x^2 + 30x + 9
The simplified expression is:
25x^2 + 30x + 9