How do you simplify #( 1 + x^(4/3) ) x ( 1 - x^(2/3) )#?

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Answer 1 · 2015-11-13T20:55:22

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

Multiply the last bracket by the #x# that is between:

#(1+x^(4/3))(x-x^(5/3))#

Note that #x^b times x^c= x^(b+c)#

Also that #x times x^(4/3) = x^(4/3+1) = x^(4/3 +3/3) =x^(7/3)#

Expanding brackets

#x-x^(5/3) + x^(7/3) -x^(7/3)#

but #+ x^(7/3) -x^(7/3)=0#

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