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Find the factors of 25x²-4y²+28yz-49z²

Solution

25x²-4y²+28yz-49z²=25x²-(4y²-28yz+49z²)
=25x²- [ (2y)²-2×2y×7z+(7z)²]
Using the identity (a−b)²=a²−2ab+b²
(5x)²−(2y−7z)²
Now using the identity a²−b²=(a+b)(a−b)
(5x+2y−7z)(5x−2y+7y)

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