16Hit1600
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?

  1. A. 2x − 5Correct
  2. B. 2x + 5
  3. C. 4x − 5
  4. 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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