Q. 1 A4.0( 28 Votes )

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Answer :

In the given expression


1st and last terms are perfect square


a2 = a × a


25 = 5 × 5


And the middle expression is in form of 2ab


10a = 2 × 5 × a


a × a + 2 × 5 × a + 5 × 5


Gives (a + b)2 = a2 + 2ab + b2


In a2 + 10a + 25


a = a and b = 5;


a2 + 10a + 25 = (a + 5)2


Hence the factors of a2 + 10a + 25 are (a + 5) and (a + 5)


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