1
Question
Factorise:
(8) 16m2 − 24mn + 9n2
(8) 16m2 − 24mn + 9n2
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Solution
16m2 − 24mn + 9n2
= (4m)2 − 2 × 4m × 3n + (3n)2
= (4m − 3n)2 [a2 − 2ab + b2 = (a − b)2]
= (4m − 3n) (4m − 3n)
∴ 16m2 − 24mn + 9n2 = (4m − 3n) (4m − 3n)
= (4m)2 − 2 × 4m × 3n + (3n)2
= (4m − 3n)2 [a2 − 2ab + b2 = (a − b)2]
= (4m − 3n) (4m − 3n)
∴ 16m2 − 24mn + 9n2 = (4m − 3n) (4m − 3n)
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