Question

calcule o 4° termo no desenvolvimento de
$(2x + y)7$
​

Answer 1

Resposta:

T₄ = 560x⁴y³

Explicação passo-a-passo:

$T_{p+1}=\left(\begin{array}{ccc}n\\p\\\end{array}\right)a^{n-p}. b^{p}\\\\T_{3+1}=\left(\begin{array}{ccc}7\\3\\\end{array}\right)(2x)^{7-3}.y^3\\\\T_{4}=\left(\begin{array}{ccc}7\\3\\\end{array}\right).(2x)^4.y^3\\\\T_{4}=\frac{7!}{3!.4!}.16x^4.y^3\\\\T_{4}=\frac{7.6.5}{6}.16x^4y^3\\\\T_{4}=560x^4y^3$