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evaluate the expression $(3 + 2)^2 + 4 \\cdot 5$. now, add. $(3 + 2)^2 …

Question

evaluate the expression $(3 + 2)^2 + 4 \cdot 5$. now, add. $(3 + 2)^2 + 4 \cdot 5 = 5^2 + 4 \cdot 5 = 25 + 20 = \square$

Explanation:

Step1: Calculate the sum inside the parentheses

First, we simplify the expression inside the parentheses: \(3 + 2 = 5\), so the expression becomes \(5^2 + 4 \cdot 5\).

Step2: Evaluate the exponent and the multiplication

Next, we calculate the exponent \(5^2 = 25\) and the multiplication \(4 \cdot 5 = 20\), so the expression is now \(25 + 20\).

Step3: Add the two results

Finally, we add \(25\) and \(20\) together: \(25 + 20 = 45\).

Answer:

\(45\)