State whether True or False:
Factorization of $25 (2 x - y)^{2} - 16 (x - 2 y)^{2}$ is $3 (14 x - 13 y) (2 x + y)$ .

True

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False

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Solution

The correct option is A True
$F a c t o r i z i n g 25 (2 x - y)^{2} - 16 (x - 2 y)^{2} = (10 x - 5 y + 4 x - 8 y) (10 x - 5 y - 4 x + 8 y) = (14 x - 13 y) (6 x + 3 y) = 3 (14 x - 13 y) (2 x + y)$

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