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What the hell is wrong with this, C3 Maths thanks.

How are these the same, because x^2 -2x + 3 simplified to (x-1)^2

So surely it would be (x-1)^2 + 2 / (x-1)^2

which is just 2. I dont get it.. Problem attached below.
Original post by Taylor_R
How are these the same, because x^2 -2x + 3 simplified to (x-1)^2

So surely it would be (x-1)^2 + 2 / (x-1)^2

which is just 2. I dont get it.. Problem attached below.


Not quite. If it were (x1)22(x-1)^2*2 on the numerator, you'd be right.

(x1)2+2(x1)2 \frac{(x-1)^2 + 2}{(x-1)^2}

=(x1)2(x1)2+2(x1)2 = \frac{(x-1)^2}{(x-1)^2} + \frac{2}{(x-1)^2}

=1+2(x1)2 = 1 + \frac{2}{(x-1)^2}

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