16Hit1600
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).

More Advanced Math questions

Not affiliated with the College Board. SAT is a trademark of the College Board.