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What is the Fourth term of (x-2)⁵

use the formula

(n!)/(r!(n - r)!) \: a ^(n - r) b ^(r)
to figure out the fourth term
show all work
​Find the indicated term using the binomial theorem.

User Jenn
by
7.9k points

1 Answer

5 votes

Answer:

-80 * x^2

Explanation:

(a + b)^n

(x + (-2))^5

a = x ; b = -2 ; n = 5 ; r = 3

n! / (r! * (n - r)!) * a^(n - r) * b^r

5! / (3! * (5 - 3)!) * x^(5 - 3) * (-2)^3

5! / (3! * 2!) * x^2 * (-8)

120 / (6 * 2) * x^2 * (-8)

-80 * x^2

User Modesty
by
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