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Simplify the following expressions:

[tex]\[ (13 \times 12 \times 11 + 12) \][/tex]
[tex]\[ (8 \times 7 \times 6 \times 5 + 5) \][/tex]


Sagot :

Sure, let's break down each expression step by step to find the final results.

### Expression 1: [tex]\(13 \times 12 \times 11 + 12\)[/tex]

1. First, multiply the numbers 13, 12, and 11 together:
[tex]\[ 13 \times 12 = 156 \][/tex]
[tex]\[ 156 \times 11 = 1716 \][/tex]

2. Then, add 12 to the result of the multiplication:
[tex]\[ 1716 + 12 = 1728 \][/tex]

So, the result of the first expression [tex]\(13 \times 12 \times 11 + 12\)[/tex] is 1728.

### Expression 2: [tex]\(8 \times 7 \times 6 \times 5 + 5\)[/tex]

1. First, multiply the numbers 8, 7, 6, and 5 together:
[tex]\[ 8 \times 7 = 56 \][/tex]
[tex]\[ 56 \times 6 = 336 \][/tex]
[tex]\[ 336 \times 5 = 1680 \][/tex]

2. Then, add 5 to the result of the multiplication:
[tex]\[ 1680 + 5 = 1685 \][/tex]

So, the result of the second expression [tex]\(8 \times 7 \times 6 \times 5 + 5\)[/tex] is 1685.

### Summary:
- The value of [tex]\(13 \times 12 \times 11 + 12\)[/tex] is 1728.
- The value of [tex]\(8 \times 7 \times 6 \times 5 + 5\)[/tex] is 1685.