Question

Evaluate (1+x)³ by using Binomial theorem.​

Answer 1

Step-by-step explanation:

ANSWER ✍️

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

• 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

hope this helps you!!