Apply the binomial theorem to the expression (x^2+1)^2

Step-by-step explanation:

(x^2 +1)(x^2 +1)

x^4 +x^2+x^2 +1

x^4+2x^2 +1 answer

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x^4 + 2x^2 + 1

Step-by-step explanation:

Using Pascal's Triangle, we end up with the following set of coefficients in a triangular form:

        1

 1      2     1

The coefficients 1, 2 and 1 are used as follows:

1(x^2)^2 + 2(x^2) + 1(1)^2, or

x^4 + 2x^2 + 1

Therefore the given expression (x^2+1)^2 is equivalent to the expanded form x^4 + 2x^2 + 1 .

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