Mathematics

Factorise :

(a - 3b)2 - 36 b2

Factorisation

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Answer

(a - 3b)2 - 36 b2

= (a - 3b)2 - (6 b)2

Using the formula

[∵ (x2 - y2) = (x + y)(x - y)]

= ((a - 3b) - 6b)((a - 3b) + 6b)

= (a - 3b - 6b)(a - 3b + 6b)

= (a - 9b)(a + 3b)

Hence, (a - 3b)2 - 36 b2 = (a - 9b)(a + 3b)

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