SOLUTION: How can I do the factoring of the following: N to the forth power minus 4N to the 3rd power plus n minus 4

Algebra.Com
Question 207959: How can I do the factoring of the following: N to the forth power minus 4N to the 3rd power plus n minus 4
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression


Group like terms


Factor out the GCF out of the first group. Factor out the GCF out of the second group


Since we have the common term , we can combine like terms


Now factor to get (hint: use the sum of cubes formula)


Rearrange the terms.


So completely factors to


In other words,

RELATED QUESTIONS

How can I do the factoring of the following: N to the forth power minus 4N to the 3rd... (answered by Alan3354,stanbon)
how do you factor n to the 9th power minus n to the 5th... (answered by user_dude2008)
How do I do 6x to the 3rd power minus... (answered by Gogonati)
simplify: m to the power of 3 minus n to the power of 3 divided by m minus... (answered by mananth)
15y to the 2nd power plus 12y to the 3rd power minus 3y (answered by Fombitz)
wHAT IS FACTORING AND HOW DO I FACTOR SOMETHING LIKE THIS: X TO THE 2ND POWER MINUS XY... (answered by Nate,venugopalramana)
how can I factor these following equations? 1. X to the fourth power minus X squared... (answered by t0hierry)
x to the power of 2 minus 200x plus... (answered by solver91311)
how do you compute 2 squared plus 2 to third power plus 2 to the fourth power minus 10... (answered by Camille40)