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Simplify the expression:

[tex]\[ 3 \cdot -6 - (-1 - (-4 + 4(-1 - 2))) \][/tex]

Sagot :

GinnyAnsweridn
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]
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