SOLUTION: Factor x^3-8 I got the answer (x-2)(x^2+2x+4) but i don't know how Please show me step by steps to get the answer. Thanks

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Factor x^3-8 I got the answer (x-2)(x^2+2x+4) but i don't know how Please show me step by steps to get the answer. Thanks      Log On


   



Question 452115: Factor x^3-8
I got the answer (x-2)(x^2+2x+4) but i don't know how
Please show me step by steps to get the answer. Thanks

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


I did this for you yesterday, but here it is again.

Use the factorization of the difference of two cubes:



And recall that .

For future reference, you can remember the sum and difference of two cubes thusly:



Use the mnemonic "San Diego Padres" to remember "Same sign, Different sign, Plus sign" to help you know which signs to put into the right hand side of the equation.

John

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