Q. 1 D4.0( 5 Votes )

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Answer :

In the given expression


1st and last terms are perfect square


25x2 = 5x × 5x


9y2 = 3y × 3y


And the middle expression is in form of 2ab


30xy = 2 × 5x × 3y


5x × 5x + 2 × 3y × 5x + 3y × 3y


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


In 25x2 – 30xy + 9y2


a = 5x and b = 3y;


25x2 - 30xy + 9y2 = (5x-3y)2


Hence the factors of 25x2 - 30xy + 9y2 are (5x-3y) and (5x-3y)


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