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Question

Factorise: x36x2+11x6

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Solution

x36x2+11x6
=x35x2x2+6x+5x6
=x35x2+6xx2+5x6
=x(x25x+6)1(x25x+6)
=(x1)(x25x+6)
=(x1)(x22x3x+6)
=(x1)[x(x2)3(x2)]
=(x1)(x2)(x3)

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