Q3 of 53 Page 77

Factorise:

x3 – 12x2 + 36x

using (x–y)2 = x2–2xy + y2

= x[x2–12x + 36]


= x[x2–2 × x × 6 + 62]


= x(x–6)2


= x(x–6)(x–6)


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