Question

The H.C.F of two expressions is x and their L.C.M. is x3-9x. If one are of the expressions is x2​​​​​​​+3x, then the other expression is​

Answer 1

Answer:

Step-by-step explanation:

Answer

Correct option is

A  x2  −3x

GivenHCF=x,LCM=x  3  −9x,

onenumber=x  2  +3x. HCF×LCM=x(x  3  −9x)=x  4  −9x  2

. LetonenumberbeP.

∴Productofthenumbers=P(x  2  +3x)

weknowLCM×HCF=Productofthenumber.

∴P(x  2 +3x)=x  4  −9x  2

 =(x  2 +3x)(x  2  −3x)

∴P=  x  2  +3x (x  2  +3x)(x  2  −3x)

​  

=x  2  −3x

∴Theothernumberis x  2  −3x.