RRB Assistant Loco Pilot and Technician Model Paper 10 with solutions

Question : 5 of 75

Marks: +1, -0

The LCM of (a 4 – b4 ) and (a 2 – b2 ) 2 is

Solution:

Let
P (x) =

a^4 – b^4

(a^2 )^2 – (b^2 )^2

(a^2 + b^2 ) (a^2 – b^2 )

and
z (x) =

(a^2 – b^2 )^2

H.C.F. of P (x) and Z (x) =

a^2 – b^2

∴ L.C.M. P (x) and Z (x)
=

{ { P } ( x ) × { Z } ( x ) }/ { { \H.C.F. } { \of } { P } ( x ) { \and } { Z } ( x )}

{ ( a ^ { 2 } + b ^ { 2 } ) ( a ^ { 2 } - b ^ { 2 } ) ( a ^ { 2 } - b ^ { 2 } ) ^ { 2 } } /{ a ^ { 2 } - b ^ { 2 } }

( a ^ { 2 } + b ^ { 2 } ) ( a ^ { 2 } - b ^ { 2 } ) ^ { 2 }

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