Multiply Binomials

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as (x + 3) or (2x - 5).

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Expand the binomial (x - 5)(x + 3).

Back

x² - 2x - 15.

Front

What is the result of multiplying (x + 2)(x + 4)?

Back

x² + 6x + 8.

Front

How do you expand (a + b)(c + d)?

Back

Use the distributive property: ac + ad + bc + bd.

Front

What is the square of a binomial?

Back

The square of a binomial (a + b)² is a² + 2ab + b².

Front

Expand (x + 1)(x - 1).

Back

x² - 1.

Front

What is the result of (2x - 3)(x + 5)?

Back

2x² + 7x - 15.

Front

Expand (x + 2)(x + 2).

Back

x² + 4x + 4.

Front

What is the difference of squares?

Back

The difference of squares is a² - b² = (a + b)(a - b).