Find the following products:
$\left(x^{2}-1\right)\left(x^{4}+x^{2}+1\right)$
Find the following products:
$\left(x^{2}-1\right)\left(x^{4}+x^{2}+1\right)$
$\left(x^{2}-1\right)\left(x^{4}+x^{2}+1\right)=\left(x^{2}-1\right)\left\{\left(x^{2}\right)^{2}+\left(x^{2}\right)(1)+(1)^{2}\right\}$
$=\left(x^{2}\right)^{3}-(1)^{3}$ $\quad\left[\because(a-b)\left(a^{2}+a b+b\right)^{2}=a^{3}-b^{3}\right]$
$=x^{6}-1$
Similar Questions
Classify the following as linear, quadratic or cubic polynomial
$x^{2}-9 x+14$
Classify the following as linear, quadratic or cubic polynomial
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By remainder Theorem find the remainder, when $p(x)$ is divided by $g(x),$ where
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