Binomial expansion

Front

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

Back

x^5 + 5x^4 + 10x^3 + 10x^2 + 5x + 1

Front

Expand the expression (2x + 5)^4.

Back

16x^4 + 160x^3 + 600x^2 + 1000x + 625

Front

Find the term containing u^2 in the expansion of (u - 3)^5.

Back

-270u^2

Front

Identify the polynomial 36x^2 - y^2.

Back

Difference of Squares

Front

How do you know what row of Pascal's triangle to use to expand a binomial?

Back

You use the row that has the exponent number as its second term.

Front

What is the general formula for the Binomial Theorem?

Back

(a + b)^n = Σ (n choose k) * a^(n-k) * b^k for k = 0 to n.

Front

What does (a + b)^2 equal?

Back

a^2 + 2ab + b^2

Front

What is the coefficient of x^3 in the expansion of (2x + 3)^5?

Back

The coefficient is 10 * 2^3 * 3^2 = 720.

Front

What is the significance of Pascal's triangle in binomial expansion?

Back

It provides the coefficients for the terms in the expansion.

Front

What is the term for the expansion of (x - y)^n?

Back

It is also a binomial expansion, following the same principles as (x + y)^n.