IMAT 2025 · Question 51

Q51 - Factorisation of polynomials

The trinomial a² − 4ab + 4b² is equal to: A) 2(a + b)² B) (a − 2b)² C) a² − b² D) a² + b² E) a² + b²
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The correct answer is B) (a − 2b)².

a² − 4ab + 4b² is a perfect square: (a − 2b)². Expand it to check: a² − 4ab + 4b².

(Options D and E are identical in the original paper. Neither is right anyway.)

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