Question

Calcule a soma dos coeficientes do desenvolvimento (2x + 3y)^3

Answer 1

$(2x+3y)^3\\(2x+3y).(2x+3y).(2x+3y)\\Lembre-se:\\\left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3\\Sendo assim:\\(2x+3y)^3 ---> 8x^3+36x^2y+54xy^2+27y^3\\Coeficientes ---> 8, 36, 54, 27\\Some-os:\\8+36+54+27\\= 125\\A~soma~dos~coeficientes~--->~125.\\ \\Att, Felipemlvr.$