16Hit1600
Advanced MathVery hardSum of squares from a difference and a difference of squares

Advanced Math practice question

If a − b = 2 and a² − b² = 28, what is the value of a² + b²?

Answer: 100

a² − b² = (a − b)(a + b) gives a + b = 14, so a = 8 and b = 6, and a² + b² = 100.

Common wrong answers

If you answered 14
14 is a + b.
If you answered 28
28 is the given difference of squares.
If you answered 48
48 is ab.

More Advanced Math questions

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