Mathematics

Question

What is the product of (x^2+√2x+1)(x^2+√2x+1)

1 Answer

  • [tex](x^2+\sqrt 2 x+1)^2[/tex]

    [tex]=(x^2+\sqrt 2 x+1)(x^2+\sqrt 2 x+1)[/tex]

    [tex]=x^2(x^2+\sqrt 2 x+1) + \sqrt{2} x (x^2+\sqrt 2 x+1) + 1(x^2+\sqrt 2 x+1)[/tex]

    [tex]=x^4 + \sqrt{2} x^3 + x^2 + \sqrt{2}x^3 + 2x^2 + \sqrt{2}x + x^2+\sqrt 2 x+1[/tex]

    [tex]=x^4 + 2\sqrt{2} x^3 + 4x^2 + 2 \sqrt{2}x +1[/tex]

    That's the answer.

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