Come si usa la formula binomiale per espandere # (x + 1) ^ 3 #?
Risposta:
# x^3 + 3x^2 +3x + 1#
Spiegazione:
Formula binomiale per #(a+b)^3#
#=> ^3C_0a^3b^0 + ^3C_1a^2b^1 +^3C_2a^1b^2 + ^3C_3a^0b^3#
Qui, #a = x# e #b = 1#.
#=> ^3C_0x^3 + ^3C_1x^2xx1^1 +^3C_2x^1xx1^2 + ^3C_3xx1^3#
As #color(red)(->^3C_0=^3C_3=1) and color(magenta)(->^3C_1=^3C_2 = 3#
#=> x^3 + 3x^2 +3x + 1#