Question

What is the third term in the expansion of (x + 2)^6?

Answer 1

do you know about binomial theory..?

Answer 2

replace x for 3 and solve

Answer 3

umm not really

Answer 4

oh ok

Answer 5

ok... so can you calculate a combination...?

Answer 6

so x = the term, right?

Answer 7

yes

Answer 8

so the answer is 15625?

Answer 9

correct

Answer 10

Yay! Thank you both so much!

Answer 11

your welcome

Answer 12

ok... so this question uses combinations to calculate part of the coefficient of the term

in a degree 6 expansion you will end up with 7 terms...

the terms start

\[t_{0}, t{1}, t_{2}.....,t_{6}\]

so the 3rd term will have r = 0

then the term is found using

\[^6C_{2} (x)^{6 - 2} \times (2)^2\]

simplify it and you will have the 3rd term

Answer 13

oops should read the 3rd term has r = 2

so then the term is

\[^6C_{2} \times x^{6 -2} \times 2^2\]

Answer 14

so KaylaRdz0405 is wrong?

Answer 15

it follows pascals' triangle