Question

find HCF and LCM of
x³+3x² and 3x²-27

Answer 1

Answer:

LCM of x³+3x² and 3x²-27 =  3x² - 27

HCF of x³ + 3x² and 3x²-27 =  x³ + 3x²

Step-by-step explanation:

x³ + 3x²  and  3x² - 27

LCM ( Least common multiple)

⇒ x³ + 3x² , 3x² - 27

⇒ x³ + 3x² , 3( x³ + 3x² )

so, LCM of x³ + 3x² , 3( x³ + 3x² )  =  3( x³ + 3x² ) = 3x² - 27

HCF ( Hight common factor )

⇒ x³ + 3x² , 3x² - 27

⇒ x³ + 3x² , 3( x³ + 3x² )

so, HCF of x³ + 3x² , 3( x³ + 3x² )  =   x³ + 3x²

Hence,  LCM of x³ + 3x² and 3x² - 27 =  3x² - 27

              HCF of x³ + 3x² and 3x² - 27 =  x³ + 3x²