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Sagot :
Let's simplify the given mathematical expression step by step.
The expression is:
[tex]\[ 3 \cdot (-6) - (-1 - (-4 + 4 \cdot (-1 - 2))) \][/tex]
Step 1: Simplify the innermost parentheses
First, let's simplify the expression inside the innermost parentheses:
[tex]\[ -1 - 2 = -3 \][/tex]
So,
[tex]\[ 4 \cdot (-3) = 4 \cdot -3 = -12 \][/tex]
Step 2: Substitute back into the expression
Now, we have:
[tex]\[ -1 - (-4 + (-12)) \][/tex]
Simplify inside the next set of parentheses:
[tex]\[ -4 + (-12) = -4 - 12 = -16 \][/tex]
Step 3: Substitute back into the outer expression
Now, we have:
[tex]\[ -1 - (-16) \][/tex]
Simplify the expression:
[tex]\[ -1 - (-16) = -1 + 16 = 15 \][/tex]
Step 4: Substitute this result back into the original expression
We now have:
[tex]\[ 3 \cdot (-6) - 15 \][/tex]
Step 5: Simplify the remaining expression
Evaluate the multiplication:
[tex]\[ 3 \cdot (-6) = -18 \][/tex]
Now, subtract:
[tex]\[ -18 - 15 = -33 \][/tex]
So, the final result is:
[tex]\[ -33 \][/tex]
The expression is:
[tex]\[ 3 \cdot (-6) - (-1 - (-4 + 4 \cdot (-1 - 2))) \][/tex]
Step 1: Simplify the innermost parentheses
First, let's simplify the expression inside the innermost parentheses:
[tex]\[ -1 - 2 = -3 \][/tex]
So,
[tex]\[ 4 \cdot (-3) = 4 \cdot -3 = -12 \][/tex]
Step 2: Substitute back into the expression
Now, we have:
[tex]\[ -1 - (-4 + (-12)) \][/tex]
Simplify inside the next set of parentheses:
[tex]\[ -4 + (-12) = -4 - 12 = -16 \][/tex]
Step 3: Substitute back into the outer expression
Now, we have:
[tex]\[ -1 - (-16) \][/tex]
Simplify the expression:
[tex]\[ -1 - (-16) = -1 + 16 = 15 \][/tex]
Step 4: Substitute this result back into the original expression
We now have:
[tex]\[ 3 \cdot (-6) - 15 \][/tex]
Step 5: Simplify the remaining expression
Evaluate the multiplication:
[tex]\[ 3 \cdot (-6) = -18 \][/tex]
Now, subtract:
[tex]\[ -18 - 15 = -33 \][/tex]
So, the final result is:
[tex]\[ -33 \][/tex]
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