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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