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

asked Dec 5, 2021 115k views

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$(x^2+\sqrt 2 x+1)^2$

$=(x^2+\sqrt 2 x+1)(x^2+\sqrt 2 x+1)$

$=x^2(x^2+\sqrt 2 x+1) + √(2) x (x^2+\sqrt 2 x+1) + 1(x^2+\sqrt 2 x+1)$

$=x^4 + √(2) x^3 + x^2 + √(2)x^3 + 2x^2 + √(2)x + x^2+\sqrt 2 x+1$

=x^4 + 2√(2) x^3 + 4x^2 + 2 √(2)x +1

That's the answer.

Tsal Troser answered Dec 10, 2021

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