a simplify b solve for x 2x1x21323x31x223 1x223Solutiona Si

a) simplify b) solve for x 2x(1-x^2)^1/3+2/3x^3(1-x^2)^-2/3 / (1-x^2)^2/3

a) Simplify : 2x(1-x^2)^1/3 + 2/3x^3(1-x^2)^-2/3 / (1-x^2)^2/3

2/3x^3(1-x^2)^-2/3 / (1-x^2)^2/3 = 2/3x^3(1- x^2)^-2/3(1-x^2)^2/3

= 2/3x^3

So, 2x(1-x^2)^1/3 + 2/3x^3(1-x^2)^-2/3 / (1-x^2)^2/3

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

= [ 6x^4(1- x^2)^1/3 +2]/3x^3

b) Solve for x :

[ 6x^4(1- x^2)^1/3 +2]/3x^3 =0

x^4 =0 ; (1- x^2)^1/3

x =0 ; 1= x^2

x = 0 , -1 , 1