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Mathematics

Find whether the trinomial is a perfect square or not :

4x2 + 4x + 1

Factorisation

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Answer

4x2 + 4x + 1

Using the formula

[∵ (x + y)2 = x2+ 2xy + y2 ]

= (2x)2 + 2 ×\times 2x ×\times 1 + (1)2

= (2x + 1)2

Hence, 4x2 + 4x + 1 is a perfect square.

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