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Mathematics

Factorisation of 63x2 - 112y2 is

  1. 63(x - 2y)(x + 2y)

  2. 7(3x + 2y)(3x - 2y)

  3. 7(3x + 4y)(3x - 4y)

  4. none of these

Factorisation

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Answer

63x2 - 112y2 = 7[9x2 - 16y2] = 7[(3x)2 - (4y)2].

We know that,

a2 - b2 = (a + b)(a - b).

∴ 7[(3x)2 - (4y)2] = 7(3x + 4y)(3x - 4y).

Hence, Option 3 is the correct option.

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