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23 June, 19:17

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

A) - 5

B) 10

C) - 120

D) - 360

E) 720

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Answers (1)
  1. 23 June, 19:39
    0
    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
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