Question

which expression is not equivalent to 24 + 12? answer ○3(8 + 4) ○6(4 + 2) ○2(12 + 6) ○4(6 + 8)

Explanation:

Step1: Simplify the given expression

$24 + 12i$

Step2: Simplify each option

• Option 1: $2(12 + 6)=2\times18 = 36$
• Option 2: $4(6 + 2)=4\times8=32$
• Option 3: $3(8 + 4)=3\times12 = 36$
• Option 4: $4(6+8)=4\times14 = 56$

None of the options are in the form of a complex - number expression like the given $24 + 12i$. But if we consider just the real - part simplification of the options and compare with the real - part of the given expression ($24$).
The given expression $24 + 12i$ has a real part of $24$.
For option 1: $2(12 + 6)=2\times18=36$
For option 2: $6(4 + 2)=6\times6 = 36$
For option 3: $3(8 + 4)=3\times12=36$
For option 4: $4(6 + 8)=4\times14 = 56$

Since the given expression $24+12i$ and we are looking for non - equivalent expressions in a general sense (assuming we are comparing real parts when no complex number operations are shown in options), all of these options with just real - number multiplications are not equivalent to the given complex number expression in terms of value.

Answer:

All of the above options (since they are real - number results and the given is a complex number, and also their real - part values don't match the real - part of the given complex number)