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Mathematics

Simplify the following:

(3x-1)2 - (3x-2)(3x+1)

Expansions

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Answer

(3x-1)2 - (3x-2)(3x+1) = [(3x-1)2] - [(3x-2)(3x+1)]

= [(3x)2 - 2(3x)(1) + (1)2] - [(3x)2 + 3x - 6x - 2]

= (9x2 - 6x + 1) - (9x2 - 3x - 2)

= 9x2 - 6x + 1 - 9x2 + 3x + 2

= -3x + 3

= 3 - 3x

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