Question

Without actually writing the following explain how to expand (x+3)^7 using the binomial theorem

Answer 1

To write the coefficients of the 8 terms, either start with a combination of 7 things taken 0 at a time and continue to 7 things taken 7 at a time or use the 7th row of Pascal’s triangle.

For the first term, write x to the 7th power and 3 to the 0 power. Then decrease the power on x and increase the power on y until you reach x to the 0 and y to the 7.

Simplify by evaluating the coefficients and powers 3

Answer 2

`x^(7) + 3^(7)`

Explanation:

because you put each thing to the power