Mathematics

Question

Fine the product mentally. [(x+1) (x-1)^2

2 Answer

  • If the product is: [(x+1) (x-1)]^2 , the answer is:
    [(x+1) (x-1)]^2 = [x^2-1]^2 = x^4-2x^2+1
  • Answer:

    x^4 - 2x^2 +1

    Step-by-step explanation:

    [(x+1) (x-1)]^2

    We notice that this is the difference of squares

    a^2 -b^2 = (a+b) (a-b)

    Since we have (x+1) (x-1) , it simplifies to (x^2 -1)

    [x^2-1]^2

    We know  (a-b)^2  is a^2 -2ab +b^2

    [x^2-1]^2 = x^4 - 2x^2 +1

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