SOLUTION: Write out the expansion for each of the following: A) {{{(x-5)^4 }}} B) {{{(a+3b)^3 }}} I know you would have to count down the exponets it is just a very confusing topic. Ple

Algebra ->  Probability-and-statistics -> SOLUTION: Write out the expansion for each of the following: A) {{{(x-5)^4 }}} B) {{{(a+3b)^3 }}} I know you would have to count down the exponets it is just a very confusing topic. Ple      Log On


   

Question 455299: Write out the expansion for each of the following:
A) %28x-5%29%5E4+
B) %28a%2B3b%29%5E3+
I know you would have to count down the exponets it is just a very confusing topic. Please help
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write out the expansion for each of the following:
A) (x-5)^4
= 4C4x^4 + 4C3x^3(-5) + 4C2x^2(-5)^2 + 4C1x(-5)^3 + 4C0(-5)^4
-----
= x^4 -20x^3 +100x^2 - 500x + 2500
===================================

B) (a+3b)^3
= a^3 + 3C2a^2(3b) + 3C1a(3b)^2 + 3C0(3b)3
----
= a^3 +9a^2b + 27ab^2 + 27b^3
===================================
Cheers,
Stan H.