Which expression is equivalent to 24+96+192?24+96+192? 1×24+4×24+8×24 1×24+4×24+8×24 2×(12+24+48) 2×(12+24+48) 4×13+4×24+4×96 4×13+4×24+4×96SubmitShow explanation

The expression that is equivalent to 24+96+192 is 2×(12+24+48).

Here's the step by step explanation:

1. Break down each number in the original expression (24+96+192) into multiples of 24:

   • 24 is 1×24
   • 96 is 4×24
   • 192 is 8×24

2. Add these together to get 1×24+4×24+8×24.

3. Notice that each of these terms can be divided by 2, so divide each term by 2 to get 0.5×24+2×24+4×24.

4. Now, multiply each term by 2 to get back to the original numbers, but with a factor of 2 outside the parentheses. This gives 2×(12+24+48).

5. Therefore, 24+96+192 is equivalent to 2×(12+24+48).

The other expressions are not equivalent to the original expression.