(-3) - [(-4) - (-5)(-6)]
(-3)-[(-4)-30]
(-3)-[-34]
(-3)+34
31
(-2)[(-3) - (-4)(-5)]
(-2)[(-3)-20]
(-2)[-23]
46
(-5) - (-5)(-5) + |(-5)|
(-5)-(-5)*(-5)+|(-5)|
(-5)-25+5
-25
To evaluate the expression (-3) - [(-4) - (-5)(-6)], we follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
Step 1: Evaluate the expression inside the innermost parentheses: (-5)(-6), which gives us 30.
Step 2: Replace (-5)(-6) in the expression with the result from step 1, which gives us (-3) - [(-4) - 30].
Step 3: Now, evaluate the expression inside the next set of parentheses: (-4) - 30, which gives us -34.
Step 4: Replace (-4) - 30 in the expression with the result from step 3, which gives us (-3) - (-34).
Step 5: Simplify the expression (-3) - (-34) by applying the rule of subtracting a negative number, which is equivalent to adding a positive number. This gives us (-3) + 34.
Step 6: Finally, add (-3) and 34 together, which gives us the final result, 31.
Therefore, (-3) - [(-4) - (-5)(-6)] simplifies to 31.