Class 9th math 4.3 solution english PCTB

Question # 01: Find HCF by factorization method:

\((iii)\) \(\;\) \(x^3-1,x^2+x+1 \)

Solution:

$\displaystyle x^{3} -1=( x-1)\left( x^{2} +x+1\right)$

$\displaystyle x^{2} +x+1=x^{2} +x+1$

$\displaystyle \text{HCF} =x^{2} +x+1$