Question

Evaluate the following arithmetic expressions (3+4)^(2)-(3^(2)+4^(2))

Answer 1

To evaluate the given expression (3+4)^(2)-(3^(2)+4^(2)), we need to follow the order of operations, which is often remembered with the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). The value of the given expression is 24.

Step-by-step explanation:

To evaluate the given expression (3+4)^(2)-(3^(2)+4^(2)), we need to follow the order of operations, which is often remembered with the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Here are the steps:

1. First, compute the expressions in parentheses: 3+4 = 7
2. Next, compute the exponent: 7^2 = 49
3. Then, compute the expressions inside the other parentheses: 3^2 = 9 and 4^2 = 16
4. Finally, subtract the values: 49 - (9 + 16) = 49 - 25 = 24

Therefore, the value of the given expression is 24.