Advanced MathMediumExpression that reduces to a single power
Advanced Math practice question
For all values of x, (x + 6)(x − 6) + 36 is equivalent to which of the following?
- A. x²Correct
- B. x² + 36
- C. x² − 72
- D. x² + 12x
Answer: A. x²
(x + 6)(x − 6) = x² − 36, and adding 36 leaves x².
Why the other answers are wrong
- B. x² + 36
- This forgets the −36 from the product.
- C. x² − 72
- This subtracts 36 twice.
- D. x² + 12x
- This treats the product as having a middle term.
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