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

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

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.

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