SOLUTION: i am trying to learn how to raise binomials to the 5th power. Here is the problem: (z-1)^5. i cant figure out how to get the formula. the book says that the co-efficients of

Question 317046: i am trying to learn how to raise binomials to the 5th power. Here is the problem: (z-1)^5.
i cant figure out how to get the formula. the book says that the co-efficients of this problem will come out to 1 5 10 10 1. with giving me those numbers i still dont know how to put them all together and come up with a formula to begin working the problem. when the book gives me the formula : a^5+5a^4b+10a^3b^2+10a^2b^3+5ab^4+b^5 , i can plug the equations in, but if i am taking a test i wouldnt know where to begin to get the formula. Please help.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(z-1)^5.
-----------------
1z^5 + 5(z^4*(-1)) + 10z^3(-1)^2 + 10z^2(-1)^3 + 5z(-1)^4 + 1(-1)^5
----
= z^5 - 5z^4 + 10z^3 - 10z^2 + 5z - 1
====================================
Cheers,
Stan H.
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