Factories the following

49x² – 25y²

In given expression

Both terms are perfect square

⇒ 49x² = 7x × 7x

⇒ 25y² = 5y × 5y

∴ 49x²-25y² Seems to be in identity a²-b² = (a + b)(a-b)

Where a = 7x and b = 5y;

49x² – 25y² = (7x + 5y)(7x-5y)

Hence the factors of 49x² – 25y² are (7x + 5y) and (7x-5y)