How do you use the binomial formula to expand #(x+1)^3#?

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9
Mar 2, 2018

Answer:

# x^3 + 3x^2 +3x + 1#

Explanation:

Binomial formula for #(a+b)^3#

#=> ^3C_0a^3b^0 + ^3C_1a^2b^1 +^3C_2a^1b^2 + ^3C_3a^0b^3#

Here, #a = x# and #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#

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