Question

find the product:(x⁴-2x²+1) (x²+1)
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Answer 1

Answer:

(x^4-2x^2+1)(x^2+1)

={(x^2)^2-2.x^2.1+(1)^2}(x^2+1)

=(x^2-1)^2(x^2+1)

=(x^2-1)(x^2-1)(x^2+1)

=(x^2-1){(x^2)^2-(1)^2}

=(x^2-1)(x^4-1)

=(x^6-x^4-x^2+1)