Question

Qual o termo central do desenvolvimento de (2x + 3y)8?

Answer 1

(2x + 3y)⁸ => tc=8+2/2=5° termo (p=4)

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

t(4+1) = C(8,4). (2x)⁸-⁴. (3y)⁴

t5 = 8.7.6.5/4!. (2x)⁴. 81y⁴

t5 = 35.48/24. 16x⁴. 81y⁴

t5 = 35.2 . 16.81x⁴y⁴

t5 = 90720 x⁴y⁴