Q. 1 C4.3( 15 Votes )

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Answer :

In the given expression


1st and last terms are perfect square


36x2 = 6x × 6x


64y2 = 8y × 8y


And the middle expression is in form of 2ab


96xy = 2 × 6x × 8y


6x × 6x + 2 × 8y × 6x + 8y × 8y


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


In 36x2 + 96xy + 64y2


a = 6x and b = 8y;


36x2 + 96xy + 64y2 = (6x + 8y)2


Hence the factors of 36x2 + 96xy + 64y2 are (6x + 8y) and (6x + 8y)


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