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Factorise 4y2 – 12y + 9 -

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Question

Factorise 4y2 – 12y + 9
Sum

Solution

4y2 = (2y)2, 9 = 32 and 12y = 2 × 3 × (2y)
Therefore,
4y2 – 12y + 9
= (2y)2 – 2 × 3 × (2y) + (3)2
=( 2y – 3)2        .........(required factorisation)
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