Following products: left(x^{2}-1right)left(x^{4}+x^{2}+1right)

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2. Polynomials

easy

Find the following products:

$\left(x^{2}-1\right)\left(x^{4}+x^{2}+1\right)$

Option A

Option B

Option C

Option D

Solution

$\left(x^{2}-1\right)\left(x^{4}+x^{2}+1\right)=\left(x^{2}-1\right)\left\{\left(x^{2}\right)^{2}+\left(x^{2}\right)(1)+(1)^{2}\right\}$

$=\left(x^{2}\right)^{3}-(1)^{3}$ $\quad\left[\because(a-b)\left(a^{2}+a b+b\right)^{2}=a^{3}-b^{3}\right]$

$=x^{6}-1$

Standard 9

Mathematics

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