I need help. Please factor (1-x^3)?

Question

it has been 35 years since algebra and I am heling my daughter. this is the only one I cannot remember

Answer 1

basically what the guy above me said.   if its not clear, your problem takes the form a^3-b^3, a cubed minus b cubed, where a=1 and b=x.  

You can look up the expansion formula in most math books.

Or, to be more helpful: a^3 - b^3 = (a+b)(a^2 -ab + b^2)

so, 1- x ^3 = (1+x) (1 - x + x^2).

Hope that helps.

Answer 2

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

Good luck with your daughter. You always have Y!A

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