Multiply Binomials

Front

What is a binomial?

Back

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

How do you expand (x + 3)(x + 2) using the distributive property?

Back

x² + 2x + 3x + 6 = x² + 5x + 6.

Front

What is the result of expanding (x - 4)(x + 5)?

Back

x² + 5x - 4x - 20 = x² + x - 20.

Front

What is the formula for multiplying two binomials (a + b)(c + d)?

Back

The formula is ac + ad + bc + bd.

Front

Expand (2x + 1)(x - 3).

Back

2x² - 6x + x - 3 = 2x² - 5x - 3.

Front

What is the expanded form of (x + 1)²?

Back

x² + 2x + 1.

Front

How do you expand (x - 2)(x - 5)?

Back

x² - 5x - 2x + 10 = x² - 7x + 10.

Front

What is the result of (3x + 2)(x + 4)?

Back

3x² + 12x + 2x + 8 = 3x² + 14x + 8.

Front

What is the expanded form of (x + 3)(x - 3)?

Back

x² - 9 (difference of squares).