Question

What is the value of (10 – 6)^2 + 6 • 2 – (3 + 2)^2?

I know the answer is 3, I need help "Showing ALL work or explaining in details the correct solution".

Answer 1

10-6 = 3

3^2+6
3*3=9+6
15*2

could someone finish for me?

Answer 2

You are not following the PEMDAS order or operations. Also, 10-6 is not 3!

(10 – 6)^2 + 6 • 2 – (3 + 2)^2
So, Parens first:
4^2 + 6•2 - 5^2
now Exponents:
16 + 6•2 - 25
now Mult/Div:
16 + 12 - 25
Finally, Add/Sub:
28 - 25
3

Answer 3

[AI-generated answer — Explain Bot]

To find the value of the given expression, you need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

Let's break down the given expression step by step:

Step 1: Simplify within the parentheses
(10 – 6)^2 + 6 • 2 – (3 + 2)^2 = (4)^2 + 6 • 2 – (5)^2

Step 2: Evaluate exponents
= 16 + 6 • 2 – 25

Step 3: Perform multiplication
= 16 + 12 – 25

Step 4: Perform addition and subtraction from left to right
= 28 – 25

Step 5: Subtract
= 3

Therefore, the value of the given expression (10 – 6)^2 + 6 • 2 – (3 + 2)^2 is 3.