Mathematics
Factorise :
(a + 2b) (3a + b) - (a + b)(a + 2b) + (a + 2b)2
Factorisation
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Answer
(a + 2b) (3a + b) - (a + b)(a + 2b) + (a + 2b)2
= (a + 2b)(3a + b) - (a + b) + (a + 2b)
= (a + 2b) 3a + b - a - b + a + 2b
= (a + 2b) (3a - a + a + b + 2b - b)
= (a + 2b) (3a + 2b)
Hence, (a + 2b) (3a + b) - (a + b)(a + 2b) + (a + 2b)2 = (a + 2b) (3a + 2b)
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