Binomial expansion

Front

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

Back

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

Tags

CCSS.HSA.APR.C.5

Front

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

Back

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

Tags

CCSS.HSA.APR.C.5

Front

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

Back

-270u^2

Tags

CCSS.HSA.APR.C.5

Front

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

Back

Difference of Squares

Tags

CCSS.HSA.APR.C.4

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.

Tags

CCSS.HSA.APR.C.5

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.

Tags

CCSS.HSA.APR.C.5

Front

What does (a + b)^2 equal?

Back

a^2 + 2ab + b^2

Tags

CCSS.HSA.APR.C.5

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.

Tags

CCSS.HSA.APR.C.5

Front

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

Back

It provides the coefficients for the terms in the expansion.

Tags

CCSS.HSA.APR.C.5

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.

Tags

CCSS.HSA.APR.C.5