Question

Which Expressions are Equivalent?
4(s+1)
S^2
45+4
25+2(5+2)
4s"

Answer 1

To determine which expressions are equivalent, we need to simplify each expression and compare them. The simplified expression is 8s^245+425+56s.

Step-by-step explanation:

To determine which expressions are equivalent, we need to simplify each expression and compare them:

1. Given expression: 4(s+1)s^245+425+2(5+2)4s
2. Step 1: Multiply 4 by s+1: 4(s+1) = 4s + 4
3. Step 2: Simplify 4s + 4s to get 8s: 8s^245+425+2(5+2)4s
4. Step 3: Multiply 2 by (5+2): 2(5+2) = 2(7) = 14
5. Step 4: Multiply 14 by 4s: 14(4s) = 56s: 8s^245+425+56s
6. Step 5: Combine like terms: 425 + 56s

So, the simplified expression is 8s^245+425+56s. It is not equivalent to the given expression.