Find the coefficient of third term of (2x−1)^6.

Comments (2) on “Find the coefficient of third term of (2x−1)^6.”

1. 240

   using pascals trianle

   for the power 6 it is

   1, 6,15,20, 15,6, 1

   and for the third term (2x)^4 and (-1)^2

   [tex]15 \times {(2x)}^{4} \times {( - 1)}^{2}[/tex]

   [tex]240 {x}^{4}[/tex]

   Since only the coefficient is needed

   the answer is 240.

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2. 320

   Step-by-step explanation:

   it's third term is 6c3×{(2x)^4}×(-1)^2

   =20×16x^4

   =320 x^4

   it's coefficient is 320

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