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Polynomials — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSPolynomials2 Marks
Question
Find the following product: $(x^2 - 1) (x^4 + x^2 + 1)$
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Answer

$(x^2 - 1)(x^4 + x^2 + 1) $
$= (x^2 - 1) {(x^2)^2 + (x^2)(1) + (1)^2} $
$= (x^2)^3 - (1)^3 \big[\therefore (a + b)(a^2 - ab + b^2) = a^3 + b^3\big]$
$= x^6 - 1$

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