Math Problem Statement
Evaluate the following if a = -8, b = -3 and c = 2:
\[\frac{abc}{c} + 2(ab) - c\]
Solution
To evaluate the expression
given , , and , let's proceed step-by-step.
Step 1: Substitute Values
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Calculate :
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Calculate :
Step 2: Simplify Each Part of the Expression
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:
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:
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Subtract :
Step 3: Put It All Together
Now, substitute each part into the original expression:
Final Answer:
Would you like further details on any step?
Here are 5 related questions:
- How would the answer change if , , or were different values?
- Can this expression be simplified before substituting values?
- What happens if ? How does that affect the expression?
- How do you solve if there are multiple variables with negative values in a similar expression?
- Can this method be used for expressions with different powers of variables?
Tip: Always check for possible simplifications in expressions before substituting values.
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Math Problem Analysis
Mathematical Concepts
Algebra
Substitution
Formulas
Multiplication of constants with variables: ab, abc
Division of expressions: \( \frac{abc}{c} \)
Distributive property: 2(ab)
Theorems
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Suitable Grade Level
Grades 8-10