Advanced MathHardQuotient of a difference of squares
Advanced Math practice question
For x > 0, the expression (4x² − 9)/(2x + 3) is equivalent to ax − b, where a and b are positive constants. What is the value of a + b?
Answer: 5
4x² − 9 = (2x − 3)(2x + 3), so the quotient is 2x − 3 and a + b = 5.
Common wrong answers
- If you answered 2
- 2 is a alone.
- If you answered 3
- 3 is b alone.
- If you answered -1
- −1 is a − b.
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