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

1 Answer
Nov 13, 2015

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

Explanation:

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))