a: \(\dfrac{4x^2-4x+1}{2x-1}=\dfrac{\left(2x\right)^2-2\cdot2x\cdot1+1^2}{2x-1}=\dfrac{\left(2x-1\right)^2}{2x-1}=2x-1\)
b: \(\dfrac{x^2+6x+9}{x+3}=\dfrac{x^2+2\cdot x\cdot3+3^2}{x+3}=\dfrac{\left(x+3\right)^2}{x+3}=x+3\)
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