Q. 1 E3.7( 6 Votes )

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Answer :

In the given expression


1st and last terms are perfect square


25m2 = 5m × 5m


16n2 = 4n × 4n


And the middle expression is in form of 2ab


40mn = 2 × 5m × 4n


5m × 5m - 2 × 4n × 5m + 4n × 4n


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


In 25m2 – 40mn + 16n2


a = 5m and b = 4n;


25m2 – 40mn + 16n2 = (5m-4n)2


Hence the factors of 25m2 – 40mn + 16n2 are (5m-4n)and (5m-4n)


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