Chapter 1 - Speaking Mathematically - Exercise Set 1.3: 20

$K(x)=(x-1)(x-3)+1=[x^{2}-4x+3]+1=x^{2}-4x+4=(x-2)^{2}=H(x)$ Yes, the functions $H$ and $K$ are equivalent.

Work Step by Step

The steps involved are entirely FOILing (un-factoring) and factoring.

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