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.
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