16Hit1600
Advanced MathMediumSquare of a sum from the sum of squares and the product

Advanced Math practice question

If a² + b² = 34 and ab = 15, what is the value of (a + b)²?

Answer: 64

(a + b)² = a² + 2ab + b² = 34 + 2(15) = 64.

Common wrong answers

If you answered 4
4 is (a − b)² = 34 − 30.
If you answered 34
34 leaves out the 2ab term entirely.
If you answered 49
49 adds ab once instead of twice.

More Advanced Math questions

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