Q. 1 B4.1( 11 Votes )

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Answer :

In the given expression


1st and last terms are perfect square


l2 = l × l


64 = 8 × 8


And the middle expression is in form of 2ab


16l = 2 × 8 × l


l × l + 2 × 8 × l + 8 × 8


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


In l2 + 16l + 64


a = l and b = 8;


l2 + 16l + 64 = (l + 8)2


Hence the factors of l2 + 16l + 64 are (l + 8) and (l + 8)


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