Factorise by using formula: $49 (x - y)^{2} - 9 (2 x + y)^{2}$

(13 x + 4 y) (x - 10 y)

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(13 x - 4 y) (x + 10 y)

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(13 x - 4 y) (x - 10 y)

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(x - 4 y) (x - 10 y)

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Solution

The correct option is C $(13 x - 4 y) (x - 10 y)$
$F a c t o r i z i n g {7 (x - y)}^{2} - {{3 (2 x + y)}}^{2}, = (7 x - 7 y + 6 x + 3 y) (7 x - 7 y - 6 x - 3 y) = (13 x - 4 y) (x - 10 y)$
using the identity $(a^{2} - b^{2}) = (a + b) (a - b)$

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