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Simplify the following expression:

[tex]\[ 12(7 + 26 + (45 - 32) + 18) \][/tex]

Sagot :

GinnyAnswer
Sure, let's solve the given expression step by step.

The original expression is:

[tex]\[ 12(7 + 26 + (45 - 32) + 18) \][/tex]

1. Evaluate the expression within the innermost parentheses:
[tex]\[ 45 - 32 = 13 \][/tex]

So, we simplify the expression to:
[tex]\[ 12(7 + 26 + 13 + 18) \][/tex]

2. Add the numbers inside the parentheses:
[tex]\[ 7 + 26 + 13 + 18 = 64 \][/tex]

3. Now, multiply the result by 12:
[tex]\[ 12 \times 64 = 768 \][/tex]

So, the final result of the expression [tex]\(12(7 + 26 + (45 - 32) + 18)\)[/tex] is:

[tex]\[ 768 \][/tex]

Here is a summary of the intermediate results:
- [tex]\(45 - 32 = 13\)[/tex]
- [tex]\(7 + 26 + 13 + 18 = 64\)[/tex]
- [tex]\(12 \times 64 = 768\)[/tex]

Thus, the solution to the expression is 768.
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