CPM Homework Help : PC Problem 7-78

Use Pascal’s triangle to find $(x + y)^6$ without multiplying it out. Hint: Pascal’s triangle will give you the coefficients. All you need is the pattern of the powers.

Hint:

7 rows of numbers arranged in triangular array, as follows: top row labeled 0, with number 1, next row labeled 1, numbers 1 & 1, next row labeled 2, numbers 1, 2, & 1, next row labeled, 3, numbers 1, 3, 3, & 1, next row labeled 4, numbers 1, 4, 6, 4, & 1, next row labeled 5, numbers 1, 5, 10, 10, 5, & 1, last row labeled 6, numbers 1, 6, 15, 20, 15, 6, & 1.