Question

How do you use pascals triangle to expand `(x+4)^3`?

Answer 1

Use the 1 3 3 1 row of Pascal's Triangle to get `(x+4)^{3}=1 * x^{3} * 4^{0} + 3 * x^{2} * 4^{1} + 3 * x^{1} * 4^{2} + 1 * x^{0} * 4^{3}=x^{3}+12x^{2}+48x+64`.