Math Problem Statement
Evaluate the expression x^2 - y(x + y) with x = 8 and y = 1.5.
Solution
The expression given is:
with the values and .
Let's substitute these values into the expression and solve:
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Substitute and :
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Calculate :
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Calculate :
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Multiply with :
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Subtract this result from :
So, the final answer is:
Would you like more details or have any questions?
Here are some related questions you might find useful:
- How would the result change if we altered the values of and ?
- Can this expression be simplified further before substituting values?
- What happens if we set ? How does it affect the expression?
- How can we generalize the solution for any values of and ?
- What is the significance of solving such an expression in real-world applications?
Tip: Always perform operations inside parentheses first to ensure accuracy in complex expressions.
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Math Problem Analysis
Mathematical Concepts
Algebra
Substitution
Basic Arithmetic
Formulas
Expression Evaluation
Theorems
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Suitable Grade Level
Grades 6-8