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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