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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