Question

Expand (x + 3)6 using Pascal’s Triangle. Can any one do this with steps please?

Answer 1

0 1
1 1 1
2 1 2 1
3 1 3 3 1
4 1 4 6 4 1
5 1 5 10 10 5 1
6 1 6 15 20 15 6 1

\[1(x^{6})(3^{0}) + 6(x^{5})(3^{1}) + 15(x^{4})(3^{2}) + 20(x^{3})(3^{3}) + 15(x^{2})(3^{4}) + 6(x^{1})(3^{5}) + 1(x^{0})(3^{6})\]

Answer 2

The last term that's cut off should be:
\[1(x^{0})(3^{6})\]
Now just simplify.

Answer 3

nice....:)

Answer 4

@Calcmathlete
yes very nice

Answer 5

is that latex?

Answer 6

Thanks And no? I just spaced it out evenly.

Answer 7

well nice job :)

Answer 8

Thank you :)