16Hit1600
Advanced MathVery hardProduct from two squared sums

Advanced Math practice question

If (x + y)² = 49 and (x − y)² = 9, what is the value of xy?

Answer: 10

(x + y)² − (x − y)² = 4xy. So 49 − 9 = 40 = 4xy, and xy = 10.

Common wrong answers

If you answered 20
20 halves 40 instead of dividing by 4; the difference of the two squares is 4xy.
If you answered 29
29 is (49 + 9)/2 = x² + y², not xy.
If you answered 40
40 is 4xy, one step short.

More Advanced Math questions

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