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If a = 3 and b = 5, what is the value of a² + b² - 2ab?
Practice Questions
Q1
If a = 3 and b = 5, what is the value of a² + b² - 2ab?
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Questions & Step-by-Step Solutions
If a = 3 and b = 5, what is the value of a² + b² - 2ab?
Steps
Concepts
Step 1: Identify the values of a and b. Here, a = 3 and b = 5.
Step 2: Substitute the values of a and b into the expression a² + b² - 2ab.
Step 3: Calculate a². Since a = 3, a² = 3² = 9.
Step 4: Calculate b². Since b = 5, b² = 5² = 25.
Step 5: Calculate 2ab. Since a = 3 and b = 5, 2ab = 2(3)(5) = 30.
Step 6: Now substitute the calculated values into the expression: 9 + 25 - 30.
Step 7: Add 9 and 25 to get 34.
Step 8: Subtract 30 from 34 to get 4.
Algebraic Expressions
– The question tests the ability to evaluate a quadratic expression using given values for variables.
Substitution
– The question requires substituting specific values into an algebraic expression.
Understanding of Squares and Products
– The question assesses knowledge of squaring numbers and calculating products.
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