Use the binomial theorem to expand the given binomial. (t + 2)⁴

Question

Quizplus · Accepted Answer

Using the binomial theorem, we have:
(t + 2)^7 = 
C(7,0)t^7(2)^0 + C(7,1)t^6(2)^1 + C(7,2)t^5(2)^2 + C(7,3)t^4(2)^3 + C(7,4)t^3(2)^4 + C(7,5)t^2(2)^5 + C(7,6)t^1(2)^6 + C(7,7)t^0(2)^7
Simplifying this gives:
tS1U1P14S1S1P0 + 8tS1U1P13S1S1P0 + 28tS1U1P12S1S1P0 + 56tS1U1P11S1S1P0 + 70tS1U1P10S1S1P0 + 56tS1U1P9S1S1P0 + 28tS1U1P8S1S1P0 + 8tS1U1P7S1S1P0 + 2tS1U1P6S1S1P0

Therefore, the best choice is B.

Use the Binomial Theorem to Expand the Given Binomial