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Mathematics

Factorise :

1 - 25 (a + b)2

Factorisation

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Answer

1 - 25 (a + b)2

= 12 - (5(a + b))2

= 12 - (5a + 5b)2

Using the formula

[∵ (x2 - y2) = (x + y)(x - y)]

= ((1) + (5a + 5b))((1) - (5a + 5b))

= (1 + 5a + 5b)(1 - 5a - 5b)

Hence,1 - 25 (a + b)2 = (1 + 5a + 5b)(1 - 5a - 5b)

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