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Question

Factorise:

(10) 9x2 – 24xy + 16y2

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Solution

9x2 – 24xy + 16y2
= (3x)2 – 2 × 3x × 4y + (4y)2
= (3x – 4y)2 [a2 – 2ab + b2 = (a – b)2]
= (3x – 4y) (3x – 4y)
∴ 9x2 – 24xy + 16y2 = (3x – 4y) (3x – 4y)

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