16Hit 1600
Advanced MathEasy–MediumConstant term of a conjugate product

Advanced Math practice question

When (x + 6)(x − 6) is expanded and written as x² + c, what is the value of c?

Answer: -36

The product of conjugates gives a difference of squares: x² − 36, so c = −36.

Common wrong answers

If you answered 0
The middle terms cancel, but the constant term 6 · (−6) = −36 remains.
If you answered 36
The constant is 6 · (−6) = −36 — negative.
If you answered -12
−12 adds the constants; they multiply: 6 · (−6) = −36.

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