Binomial expansion

Front

What is the Binomial expansion of (x + 1)⁵?

Back

x⁵ + 5x⁴ + 10x³ + 10x² + 5x + 1

Front

What is the expansion of (x − y)³?

Back

x³ − 3x²y + 3xy² − y³

Front

How many terms are in the expansion of (1 + b)⁵?

Back

6

Front

Which row of Pascal's Triangle is used to expand (x + y)³?

Back

1 3 3 1

Front

Find the 4th term in the expansion of (4x - 3)⁵.

Back

-4320x²

Front

What is the general term in the binomial expansion of (a + b)ⁿ?

Back

T(k+1) = C(n, k) * a^(n-k) * b^k, where C(n, k) is the binomial coefficient.

Front

What is the binomial coefficient C(n, k)?

Back

C(n, k) = n! / (k!(n-k)!)

Front

What is the formula for the binomial expansion of (x + y)ⁿ?

Back

(x + y)ⁿ = Σ (C(n, k) * x^(n-k) * y^k) for k = 0 to n.

Front

What is the value of C(5, 2)?

Back

C(5, 2) = 10

Front

What is the expansion of (2x + 3)²?

Back

4x² + 12x + 9