Mathematics

Factorise :

a2 - (2a + 3b)2

Factorisation

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Answer

Given,

   a2 - (2a + 3b)2

= (a + 2a + 3b)[a - (2a + 3b)]

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

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

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

Hence, a2 - (2a + 3b)2 = -3(a + b)(a + 3b).

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