Question

simplify (x-1)(x²-x+1)/ (x+1) (x^2-x+1)
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Answer 1

Step-by-step explanation:

Step 1: I expanded x2−1 into: (x−1)(x+1). And got: x+1(x−1)(x+1)+1(x−1)(x+1)

Step 2: I calculated it into: x+2(x−1)(x+1)

Step 3: I multiplied x−2x+1 by (x−1) as following and I think this part might be wrong:

x(x−1)=x2−x. Times x+1 cause that's the denominator =

x3+x2−x2−x=x3−x.

After this I added the +2

x3−x+2(x−1)(x+1)

Step 4: I canceled out the denominator (x−1)(x+1) on both sides.

Step 5: And I'm left with: x+2x3−x+2

Step 6: Removed (x+2) from both sides I got my UN-correct answer: 1x3