Question

(r-8)^5 find the coefficient of the given term r^3 98 points max

Answer 1

Answer:

Step-by-step explanation:

Apply binomial theorem to expand (a+b)^n where a = r, b = -8 n n = 5

the r^3 term is (5!/(2!*(5-2)!)*r^3*(-8)^(5-3)

=(5*4*3*2*1/1*2*1*2*3)*r^3*(-8)^2

=640*r^3

So the coefficient is 640.

Answer 2

Answer:

640

Step-by-step explanation:

Expanding the binomial :

r⁵ - 40r⁴ + 640r³ - 5120r² + 20480r - 32768

The coefficient of r³ is 640