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Mathematics

Find whether the trinomial is a perfect square or not :

x2 + 14x + 49

Factorisation

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Answer

x2 + 14x + 49

Using the formula

[∵ (x + y)2 = x2+ 2xy + y2 ]

= x2 + 2 ×\times 7 ×\times x + (7)2

= (x + 7)2

Hence, x2 + 14x + 49 is a perfect square.

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