1
Question
Factorise:
(15) 4m2 + 36m + 81
(15) 4m2 + 36m + 81
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Solution
4m2 + 36m + 81
= (2m)2 + 2 × 2m × 9 + (9)2
= (2m + 9)2 [a2 + 2ab + b2 = (a + b)2]
= (2m + 9) (2m + 9)
∴ 4m2 + 36m + 81 = (2m + 9) (2m + 9)
= (2m)2 + 2 × 2m × 9 + (9)2
= (2m + 9)2 [a2 + 2ab + b2 = (a + b)2]
= (2m + 9) (2m + 9)
∴ 4m2 + 36m + 81 = (2m + 9) (2m + 9)
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