How do you simplify (x-3)^2-4(x-3)+3(x−3)2−4(x−3)+3?

1 Answer
Lucy
Jun 17, 2018

(x-6)(x-4)(x−6)(x−4)

Explanation:

Let u=x-3u=x−3

Hence, (x-3)^2-4(x-3)+3(x−3)2−4(x−3)+3 becomes u^2-4u+3u2−4u+3

Solving for u: (u^2-4u+3=(u-3)(u-1)(u2−4u+3=(u−3)(u−1)
Therefore, subbing u=x-3u=x−3 back into the equation
(x-3-3)(x-3-1)=(x-6)(x-4)(x−3−3)(x−3−1)=(x−6)(x−4)

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