Complete the following stepped-out solution to show that 8(5+h+2) is equivalent to 8*h+56.

Question

8(h+ )
8*h+8*

Answer 1

To show that \( 8(5 + h + 2) \) is equivalent to \( 8h + 56 \), we can follow these steps:

1. Combine like terms inside the parentheses: \[ 5 + h + 2 = h + (5 + 2) = h + 7 \]

2. Substitute this back into the expression we want to simplify: \[ 8(5 + h + 2) = 8(h + 7) \]

3. Distribute the 8: \[ 8(h + 7) = 8h + 8 \cdot 7 \]

4. Calculate \( 8 \cdot 7 \): \[ 8 \cdot 7 = 56 \]

5. Now combine this into the expression: \[ 8h + 56 \]

So, we conclude: \[ 8(5 + h + 2) = 8h + 56 \]

To fill in the blanks you provided:

• 8(h + 7)
• 8* 7

Thus the completed statement looks like this: \[ 8(h + 7) \quad 8h + 8*7 \]