RilebarkeAza
RilebarkeAza RilebarkeAza
  • 24-12-2016
  • Mathematics
contestada

The coefficient of the third term in the expansion of the binomial (3x2 + 2y3)4 is_________

Respuesta :

dxdph4pi
dxdph4pi dxdph4pi
  • 24-12-2016
Use the binomial theorem.
2C4=4!/2!(4-2)!=24/4=6
3^2*2^2=9*4=36
36*6=216
216
Answer Link
nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 25-12-2016
A binomial expansion is given by (a + b)^n = ∑nCk * a^(n - k) * b^k, k = 0, 1, 2 , . . . n
The third term is the term for k = 2.
The third term = 4C2 * (3x^2)^(4 - 2) * (2y^3)^2 = 6 * 9x^4 * 4y^6 = 216x^4y^6

Therefore, the coefficient of the third term is 216.
Answer Link

Otras preguntas

(please show work) A rock is dropped off of a cliff. It falls to the ground in 10 seconds. Answer the following questions assuming that there is no air resistan
David and Amarita had an equal number of marbles.After amirita gave 50marbles to David, he had 5times as many marbles as her. Find the total number of marbles t
2/3(6m - 9) = -17 - 18m​
A Broadway musical came to town. The auditorium filled all 1,000 seats at two-level pricing. Level 1 tickets are $75 each, and level 2 tickets are $100 each. Th
Find all solutions to the given equation: (2x − 2)(3x +1)(x − 1) = 0
Because of its purity ice exaggerates all of the effects of methamphetamine
The daffodils nodded their yellow heads at the walker meaning
I think I got the answer correct and someone please check it
A: value of g(2) is larger than value of g(-4) B: the value of g(2) is smaller than the value of g(-4) C: the value of g(2) is the same as the value of g(-4) D:
what is the answer to h + 5h - 3 - 6h = ?