Mathematics
Factorise :
8 + 6(a + b) - 5(a + b)2
Factorisation
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Answer
8 + 6(a + b) - 5(a + b)2
= 8 + (10 - 4)(a + b) - 5(a + b)2
= 8 + 10(a + b) - 4(a + b) - 5(a + b)2
= [8 + 10(a + b)] - [4(a + b) + 5(a + b)2]
= 2[4 + 5(a + b)] - (a + b)[4 + 5(a + b)]
= [4 + 5(a + b)][2 - (a + b)]
= [4 + 5a + 5b)][2 - a - b]
Hence,8 + 6(a + b) - 5(a + b)2 = [4 + 5a + 5b][2 - a - b]
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