_ x 2 1- x 2 1+ x 2 1- x ( -2 x)^3 =

Step-by-step solution

aligned & _ x 2 1- x 2 1+ x 2 1- x ( -2 x)^3 & = _ x 2 ( 4 - x 2 ): 1- x ( -2 x)^3 & On putting x= 2 -y, y 0 & = _ y 0 ( 4 - 2 -y 2 ) (1- ( 2 -y ) . ( -2 ( 2 -y ) )^3 & = _ y 0 ( y 2 ) (1- y) 8 y^3 & = _ y 0 ( y 2 ) 2 ( y 2 ) ( y 2 ) 64 ( y 2 ) ( y 2 ) ( y 2 ) & = 2 64 = 1 32 & aligned