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lys-0071 [83]
3 years ago
11

What is the coefficient of the third term in the binomial expansion of (a + b)6? 1 15 20 90

Mathematics
2 answers:
Sholpan [36]3 years ago
3 0

Answer:  15

Step-by-step explanation:

(r+1)th term of (a+b)^n is given by:-

T_{r+1}=\ ^nC_r(a)^{n-r}b^r

For (a+b)^6 , n= 6

T_3=T_{2+1}=\ ^6C_2(a)^{6-2}(b)^2\\\\

=\ \dfrac{6!}{4!2!}a^4b^2\ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{6\times5\times4!}{4!\times2}a^4b^2\\\\=3\times5a^4b^2\\\\ =15a^4b^2

Hence, the coefficient of the third term in the binomial expansion of  (a+b)^6 is 15.

viva [34]3 years ago
3 0

Answer:

15

Step-by-step explanation:

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