Point out where in the Pascal's triangle the following sequence can be found.
1, 1, 1, 1, ...
Find the sum of the entries in each of the first 8 rows of Pascal's triangle.
Find the sum of each of the first three rows of Pascal's triangle. Predict the sum of the sixth row of Pascal's triangle.
How many terms are there in the expansion of (x + z)10. Write the first two terms.
How many terms are there in the expansion of (p + q)5. Write the first two terms.
Expand the binomial using Pascal's Triangle:
Expand (p – 2)7 using Pascal's triangle.
Expand (p – 2q)4 using the binomial theorem.
Expand (x – 1)5 using the binomial theorem.
Find the fourth term of (x + y)10.
Find and simplify the specified term:
The term containing b10 in (a + b)30
Obtain the coefficient of x3 in the expansion of (x + 3)8.
The first three terms of (x + y)10 are x10 + 10x9y + 45x8y2. Write the last three terms using the symmetry of the coefficients.
In the expansion of (a + b)n, the coefficient of the second term is 9. Find n and write the term.
Expand and simplify the expression:
Use the first three terms of a binomial expansion to appropriate (4.1)6.
(a +b)5 + (a – b)5
The length of a side of a square is s. Suppose each of the dimensions of the square is increased by 0.7. Write a binomial expression for the area of the square and expand the binomial.
(a + b)5 + (a – b)5
