What is the coefficient of x^3 in the expansion of (2x-3) ^5?

A) - 5

B) 10

C) - 120

D) - 360

E) 720

Question

Mathematics

Isabella Hahn

18 May, 15:40

What is the coefficient of x^3 in the expansion of (2x-3) ^5?

A) - 5

B) 10

C) - 120

D) - 360

E) 720

+4

Answers (1)

Know the Answer?

Gary Barajas · Answer 1

309

Step-by-step explanation:

(2x-) ^5

step 1

1 5 10 10 5 1

step 2

1 (2x¹-3^0) 5 (2x²-3^5) 10 (2x³-3^4)

10 (2x^4-3³) 5 (2x^5-3²)

1 (2x^0-3¹)

step 3

(2x) (10x²-243) (20x³-81) (20x^4-27)

(10x^5-9) (2-3)

step 4

2 - 243-61-7 + 1 - 1=309

What is the coefficient of x^3 in the expansion of (2x-3) ^5?A) - 5B) 10C) - 120D) - 360E) 720

What is the coefficient of x^3 in the expansion of (2x-3) ^5?

A) - 5

B) 10

C) - 120

D) - 360

E) 720