Question

Explain, in complete sentences, how you would expand (6x + 5y)3 using Pascal’s Triangle

Answer 1

The circled row would be the coefficients

For the first term multiply 1 by (6x)^3 and (5y)^0.
As you move across the Triangle, decrease the exponent of 6x and increase it for 5y by 1
\[1(6x)^{3}(5y)^{0}+3(6x)^{2}(5y)^{1}+3(6x)^{1}(5y)^{2}+1(6x)^{0}(5y)^{3}\]