Question

36(a+b) whole square - 49(a-b) whole square. Factorise this

Answer 1

The answer of the question

Answer 2

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$36(a + b) {}^{2} - 49(a - b) {}^{2} \\ = (6(a + b)) {}^{2} - (7(a - b)) {}^{2} \\ = (6a + 6b) {}^{2} - (7a - 7b) {}^{2} \\ = ((6a + 6b) + (7a - 7b))((6a + 6b) - (7a - 7b)) \\ = (6a + 6b + 7a - 7b)(6a + 6b - 7a + 7b) \\ = (13a - b)( - a + 13b) \\ = (13a - b)(13b - a)$
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