Use Pascal's Triangle to expand (x+y)^7
(https://socratic.org/precalculus/the-binomial-theorem/the-binomial-theorem)
Use the seventh row of Pascal's Triangle, since this polynomial is of degree 7.
[tex]x7+7x6y+21x5y2+35x4y3+35x3y4+21x2y5+7xy6+y7[/tex]
First term:
[tex]x^7y^0[/tex]
X's exponent in first term: 7
Y's exponent in first term: 0
By general rules of The Binomial Theorem.
term: num^x+num^y
x+y = degree of polynomial
Sum of exponents in any term: 7
1. 8
2. 7
3. 0
4. 7
