Question

Desarrollar (2x-3) elevado a la 4ta

Answer 1

Respuesta:

16x⁴ - 96x³ + 216x² - 216x + 81

Explicación paso a paso:

$\displaystyle =(2x-3)^4 \\\\\\ \mathrm{Aplicar\:el\:teorema\:del\:binomio}\quad \left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i \\\\\\ =\sum _{i=0}^4\binom{4}{i}\left(2x\right)^{\left(4-i\right)}\left(-3\right)^i \\\\\\ \mathrm{Simplificar} \\\\\\ =16x^4-96x^3+216x^2-216x+81_{//}$