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Mathematics

Find whether the trinomial is a perfect square or not :

a2 - 10a + 25

Factorisation

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Answer

a2 - 10a + 25

Using the formula

[∵ (x - y)2 = x2- 2xy + y2 ]

= a2 - 2 ×\times a ×\times 5 + (5)2

= (a + 5)2

Hence, a2 - 10a + 25 is a perfect square.

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