Factorise by using formula: $25 (2 x + y)^{2} - 16 (x - y)^{2}$

3 (14 x + y) (2 x + 3 y)

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3 (2 x + 3 y)

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(14 x + y) (2 x + 3 y)

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3 (14 x + y) (x + 3 y)

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Solution

The correct option is C $3 (14 x + y) (2 x + 3 y)$
$F a c t o r i z i n g {{5 (2 x + y)}}^{2} - {4 (x - y)}^{2}, = (10 x + 5 y + 4 x - 4 y) (10 x + 5 y - 4 x + 4 y) = (14 x + y) (6 x + 9 y) = 3 (14 x + y) (2 x + 3 y)$
using the identity $(a^{2} - b^{2}) = (a + b) (a - b)$

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