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Simplify the following expression:
[tex]\[ -5 \cdot [6 \cdot (-2+3)] - (4-5) \cdot (-1) \][/tex]

Sagot :

GinnyAnswer
Certainly! Let's tackle the expression step by step. The expression we need to simplify and solve is:

[tex]\[ -5 \cdot [6 \cdot (-2 + 3)] - (4 - 5) \cdot (-1) \][/tex]

### Step 1: Simplify Inside the Parentheses
First, we address the innermost parentheses:

[tex]\[ -2 + 3 \][/tex]

Simplifying this:

[tex]\[ -2 + 3 = 1 \][/tex]

### Step 2: Multiply by 6
Next, we multiply the result by 6:

[tex]\[ 6 \cdot 1 = 6 \][/tex]

### Step 3: Multiply by -5
Now, we take this result and multiply it by -5:

[tex]\[ -5 \cdot 6 = -30 \][/tex]

### Step 4: Simplify the Second Parentheses
Next, simplify the expression inside the second parentheses:

[tex]\[ 4 - 5 \][/tex]

This simplifies to:

[tex]\[ 4 - 5 = -1 \][/tex]

### Step 5: Multiply by -1
Now we multiply the result by -1:

[tex]\[ -1 \cdot -1 = 1 \][/tex]

### Step 6: Combine the Results
Finally, we need to combine the results from steps 3 and 5:

[tex]\[ -30 - 1 \][/tex]

This simplifies to:

[tex]\[ -30 - 1 = -31 \][/tex]

### Final Answer
Therefore, the simplified and final result is:

[tex]\[ -31 \][/tex]
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