Question

this is 9th level question

Answer 1

Hi ,

LCM of ( x- 3 )( x - p ) and ( x + 3 ) ( x + 5 )

= ( x - 3 ) ( x + 3 ) ( x + 5 ) ( x - p )----( 1 )

But , according to the problem given ,

LCM = ( x - 3 ) ( x + 3 ) ( x - p )---( 2 )

from ( 1 ) and ( 2 ) ,

( x + 5 ) = ( x - p )

Therefore ,

x + 5 = x + ( -p )

5 = - p

p = -5

I hope this helps you.

:)

Answer 2

Answer:

Lowest Common Multiple  of ( x- 3 )( x - p ) and ( x + 3 ) ( x + 5 )

= ( x - 3 ) ( x + 3 ) ( x + 5 ) ( x - p )----( 1 )

But , according to the problem given ,

Lowest Common Multiple  = ( x - 3 ) ( x + 3 ) ( x - p )---( 2 )

from ( 1 ) and ( 2 ) ,

( x + 5 ) = ( x - p )

Therefore ,

x + 5 = x + ( -p )

5 = - p

p = -5