Advanced MathVery hardSum of cubes from a sum and a product
Advanced Math practice question
If x + y = 6 and xy = 5, what is the value of x³ + y³?
Answer: 126
x³ + y³ = (x + y)³ − 3xy(x + y) = 216 − 3(5)(6) = 216 − 90 = 126. (The numbers are 1 and 5: 1 + 125 = 126.)
Common wrong answers
- If you answered 36
- 36 is (x + y)².
- If you answered 186
- 186 subtracts 3xy = 15 twice instead of 3xy(x + y) = 90.
- If you answered 216
- 216 is (x + y)³, forgetting to subtract 3xy(x + y).
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