Binomial expansion (rational exponent)

What you'll learn

1. 1

   Imagine you have a magic formula that expands (1 + x)^(1/2) into an infinite series of terms!

2. 2

   What does the binomial expansion for rational exponents produce?

3. 3

   Let's expand (1 + x)^(1/2) up to the x² term.

4. 4

   Now try expanding (1 + x)^(1/3) up to the x² term. Type your answer in the box.

5. 5

   What is the coefficient of x in the expansion of (1 + x)^(1/2)?

6. 6

   Let's do another: expand (1 + 2x)^(1/2) up to x².

7. 7

   For (1 + 3x)^(1/2), what is the x² term coefficient?