10. Combinatorics & Probability

In Exercises 9–30, use the Binomial Theorem to expand each binomial and express the result in simplified form. (2a + b)^6

In Exercises 9–30, use the Binomial Theorem to expand each binomial and express the result in simplified form. (3x − y)^5

In Exercises 9–30, use the Binomial Theorem to expand each binomial and express the result in simplified form. (c+2)^5

In Exercises 9–30, use the Binomial Theorem to expand each binomial and express the result in simplified form. (2x³ − 1)^4

In Exercises 9–30, use the Binomial Theorem to expand each binomial and express the result in simplified form. (y-3)^4

In Exercises 9–30, use the Binomial Theorem to expand each binomial and express the result in simplified form. (x²+2y)^4

In Exercises 9–30, use the Binomial Theorem to expand each binomial and express the result in simplified form. (2x + 1)^4

In Exercises 9–30, use the Binomial Theorem to expand each binomial and express the result in simplified form. (5x – 1)^3

In Exercises 9–30, use the Binomial Theorem to expand each binomial and express the result in simplified form. (3x + y)^3

In Exercises 1–8, evaluate the given binomial coefficient.

In Exercises 1–8, evaluate the given binomial coefficient.

In Exercises 1–8, evaluate the given binomial coefficient.

In Exercises 1–8, evaluate the given binomial coefficient.

Write the first three terms in the binomial expansion, expressing the result in simplified form. (x-3)^9

Use the Binomial Theorem to expand the binomial and express the result in simplified form. ((x^2)-1)^4