Mathematics
Factorise :
12(a + b)2 - (a + b) - 35
Factorisation
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Answer
12(a + b)2 - (a + b) - 35
= 12(a + b)2 - (21 - 20)(a + b) - 35
= 12(a + b)2 - 21(a + b) + 20(a + b) - 35
= 3(a + b)(4(a + b) - 7) + 5(4(a + b) - 7)
= 3(a + b)(4a + 4b - 7) + 5(4a + 4b - 7)
= (4a + 4b - 7)(3(a + b) + 5)
= (4a + 4b - 7)(3a + 3b + 5)
Hence,12(a + b)2 - (a + b) - 35 = (4a + 4b - 7)(3a + 3b + 5)
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