Question

Expand the following using either the Binomial Theorem or Pascal’s Triangle.

(2x + 4)^3

Answer 1

@ParthKohli

Answer 2

\[(2x+4)^3=\sum_{r=0}^3{ 3\choose r}(2x)^{3-r}(4)^r \\
= { 3\choose 0}(2x)^{3-0}4^0+{ 3\choose 1}(2x)^{3-1}(4)^1+{ 3\choose 2}(2x)^{3-2}4^2+{ 3\choose 3}(2x)^{3-3}(4)^3\]

Answer 3

Is that what I have to do?

Answer 4

That's using the binomial theorem, but yes. You can simplify the expression more by evaluating each binomial coefficient, since
\[ {n \choose r}=\frac{n!}{r!(n-r)!}\]
or by using Pascal's triangle

Answer 5

Thank you so much! The lesson didn't really explain either so I had no clue of what I was supposed to do.

Answer 6

ah well yw :)