Question

Determine o 4° termo do binômio (3x-2)^7

Answer 1

(3x + 7)⁷ => a=3x, b=7, n=7, p+1=4°=>p=3

t(p+1) = C(n, p).a^n-p. b^p

t(3+1) = C(7, 3).(3x)⁷-³. 7³

t4 = 7.6.5/3!. (3x)⁴. 7³

t4 = 7.6.5/6. (3⁴x⁴). 7³

t4 = 35 . (81x⁴). 343

t4 = 972405 x⁴