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Polynomials — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSPolynomials1 Mark
Question
The product $(a + b) (a - b) (a^2 - ab + b^2) (a^2 + ab +b^2)$ is equal to:
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Answer

$(a + b) (a - b) (a^2 - ab + b^2) (a^2 + ab +b^2)$
$\Rightarrow {(a + b) (a^2 + b^2 - ab)} {(a - b) (a^2 + b^2 + ab)}$
$\Rightarrow (a^3 + b^3) (a^3 - b^3)$
$\Rightarrow (a^6 - b^6)$

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