SOLUTION: need help don't get this one.. Find the third term in the expression of (3t+4)^8 choices are: 1) 48t^6 2) 11644t^6 3) 326,592t^6 4) 448t^6

Question 62895: need help don't get this one..
Find the third term in the expression of (3t+4)^8 choices are:
1) 48t^6
2) 11644t^6
3) 326,592t^6
4) 448t^6
Found 2 solutions by funmath, praseenakos@yahoo.com:
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
need help don't get this one..
Find the third term in the expression of (3t+4)^8 choices are:
1) 48t^6
2) 11644t^6
326,592t^6
4) 448t^6
The third term is C(8,2)(3t)^(8-2)(4)^(2)=28(3^6)(t^6)(16)=28(729)(t^6)(16)=326,592t^6
Happy Calculating!!!
Answer by praseenakos@yahoo.com(507) (Show Source): You can put this solution on YOUR website!
Find the third term in the expression of (3t+4)^8 choices are:
answer is 326,592t^6
Third term is given by, {(8*7)/(1*2)}(3t)^8-2 * (4)^2, which gives the value after simplification.

More:
Fourth term is given by {(8*7*6)/(1*2*3)}(3t)^8-3 * (4)^3
Fifth term is given by, {(8*7*6*5)/(1*2*3*4)}(3t)^8-4* (4)^4
You could apply the same procedure for calculating any term in the expansion.

Regards.
Praseenakos@yahoo.co.in
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