Question 3: Find LCM of the following expressions by using prime factorization method:
\((ii)\) \(\; \) \(x^2+x,x^3+x^2\)
Solution:
$x^{2} +x=x( x+1)$
$x^{3} +x^{2} =x\times x( x+1)$
$\displaystyle \text{Common Factors} =x( x+1)$
$\displaystyle \text{Non-Common Factors} =x$
$\displaystyle \text{LCM}$$\ =\ $$\text{Common Factors} \times \text{Non Common Factors}$
$\displaystyle \text{LCM} =x( x+1) \times x$
$\displaystyle \text{LCM} =x^{2}( x+1)$