Advanced MathMediumBinomial whose square is a given trinomial
Advanced Math practice question
The expression 4x² − 20x + 25 is the square of which of the following binomials?
- A. 2x − 5Correct
- B. 2x + 5
- C. 4x − 5
- D. 2x − 25
Answer: A. 2x − 5
(2x − 5)² = 4x² − 20x + 25: the middle term is 2(2x)(−5) = −20x.
Why the other answers are wrong
- B. 2x + 5
- (2x + 5)² has middle term +20x.
- C. 4x − 5
- (4x − 5)² = 16x² − 40x + 25.
- D. 2x − 25
- (2x − 25)² = 4x² − 100x + 625.
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