Problem 42 - College Algebra

Question

Find each product. $$(x+5)^{2}$$

Step-by-Step Solution

Answer

The product of \((x+5)^{2}\) results in \(x^{2} + 10x + 25\)

Step 1: Apply the Square Binomial Formula

Applying the square of a binomial formula \((a+b)^2 = a^{2} + 2ab + b^{2}\) where a = x and b = 5, we get: \((x+5)^{2} = x^{2} + 2*x*5 + 5^{2}\)

Step 2: Evaluate the Product and Squares

Multiply and square the constant values. We get: \(x^{2} + 2*5*x + 25 = x^{2} + 10x + 25\)